Find the solution u = u(x,t) of the following equation: au + 1e^(ax-2) satisfying ICu(x,0) = x+4, and BCu(0,t) = 1; u(4,t) = 2. (2024)

`); let searchUrl = `/search/`; history.forEach((elem) => { prevsearch.find('#prevsearch-options').append(`

${elem}

`); }); } $('#search-pretype-options').empty(); $('#search-pretype-options').append(prevsearch); let prevbooks = $(false); [ {title:"Recently Opened Textbooks", books:previous_books}, {title:"Recommended Textbooks", books:recommended_books} ].forEach((book_segment) => { if (Array.isArray(book_segment.books) && book_segment.books.length>0 && nsegments<2) { nsegments+=1; prevbooks = $(`

  • ${book_segment.title}
  • `); let searchUrl = "/books/xxx/"; book_segment.books.forEach((elem) => { prevbooks.find('#prevbooks-options'+nsegments.toString()).append(`

    ${elem.title} ${ordinal(elem.edition)} ${elem.author}

    `); }); } $('#search-pretype-options').append(prevbooks); }); } function anon_pretype() { let prebooks = null; try { prebooks = JSON.parse(localStorage.getItem('PRETYPE_BOOKS_ANON')); }catch(e) {} if ('previous_books' in prebooks && 'recommended_books' in prebooks) { previous_books = prebooks.previous_books; recommended_books = prebooks.recommended_books; if (typeof PREVBOOKS !== 'undefined' && Array.isArray(PREVBOOKS)) { new_prevbooks = PREVBOOKS; previous_books.forEach(elem => { for (let i = 0; i < new_prevbooks.length; i++) { if (elem.id == new_prevbooks[i].id) { return; } } new_prevbooks.push(elem); }); new_prevbooks = new_prevbooks.slice(0,3); previous_books = new_prevbooks; } if (typeof RECBOOKS !== 'undefined' && Array.isArray(RECBOOKS)) { new_recbooks = RECBOOKS; for (let j = 0; j < new_recbooks.length; j++) { new_recbooks[j].viewed_at = new Date(); } let insert = true; for (let i=0; i < recommended_books.length; i++){ for (let j = 0; j < new_recbooks.length; j++) { if (recommended_books[i].id == new_recbooks[j].id) { insert = false; } } if (insert){ new_recbooks.push(recommended_books[i]); } } new_recbooks.sort((a,b)=>{ adate = new Date(2000, 0, 1); bdate = new Date(2000, 0, 1); if ('viewed_at' in a) {adate = new Date(a.viewed_at);} if ('viewed_at' in b) {bdate = new Date(b.viewed_at);} // 100000000: instead of just erasing the suggestions from previous week, // we just move them to the back of the queue acurweek = ((new Date()).getDate()-adate.getDate()>7)?0:100000000; bcurweek = ((new Date()).getDate()-bdate.getDate()>7)?0:100000000; aviews = 0; bviews = 0; if ('views' in a) {aviews = acurweek+a.views;} if ('views' in b) {bviews = bcurweek+b.views;} return bviews - aviews; }); new_recbooks = new_recbooks.slice(0,3); recommended_books = new_recbooks; } localStorage.setItem('PRETYPE_BOOKS_ANON', JSON.stringify({ previous_books: previous_books, recommended_books: recommended_books })); build_popup(); } } var whiletyping_search_object = null; var whiletyping_search = { books: [], curriculum: [], topics: [] } var single_whiletyping_ajax_promise = null; var whiletyping_database_initial_burst = 0; //number of consecutive calls, after 3 we start the 1 per 5 min calls function get_whiletyping_database() { //gets the database from the server. // 1. by validating against a local database value we confirm that the framework is working and // reduce the ammount of continuous calls produced by errors to 1 per 5 minutes. return localforage.getItem('whiletyping_last_attempt').then(function(value) { if ( value==null || (new Date()) - (new Date(value)) > 1000*60*5 || (whiletyping_database_initial_burst < 3) ) { localforage.setItem('whiletyping_last_attempt', (new Date()).getTime()); // 2. Make an ajax call to the server and get the search database. let databaseUrl = `/search/whiletype_database/`; let resp = single_whiletyping_ajax_promise; if (resp === null) { whiletyping_database_initial_burst = whiletyping_database_initial_burst + 1; single_whiletyping_ajax_promise = resp = new Promise((resolve, reject) => { $.ajax({ url: databaseUrl, type: 'POST', data:{csrfmiddlewaretoken: "z9S2vsX0oUQRxVZtb5GGV6Fnd1eV0KJddtbfmgrU0IuEt7AW1Me3L03I9FSkuw6V"}, success: function (data) { // 3. verify that the elements of the database exist and are arrays if ( ('books' in data) && ('curriculum' in data) && ('topics' in data) && Array.isArray(data.books) && Array.isArray(data.curriculum) && Array.isArray(data.topics)) { localforage.setItem('whiletyping_last_success', (new Date()).getTime()); localforage.setItem('whiletyping_database', data); resolve(data); } }, error: function (error) { console.log(error); resolve(null); }, complete: function (data) { single_whiletyping_ajax_promise = null; } }) }); } return resp; } return Promise.resolve(null); }).catch(function(err) { console.log(err); return Promise.resolve(null); }); } function get_whiletyping_search_object() { // gets the fuse objects that will be in charge of the search if (whiletyping_search_object){ return Promise.resolve(whiletyping_search_object); } database_promise = localforage.getItem('whiletyping_database').then(function(database) { return localforage.getItem('whiletyping_last_success').then(function(last_success) { if (database==null || (new Date()) - (new Date(last_success)) > 1000*60*60*24*30 || (new Date('2023-04-25T00:00:00')) - (new Date(last_success)) > 0) { // New database update return get_whiletyping_database().then(function(new_database) { if (new_database) { database = new_database; } return database; }); } else { return Promise.resolve(database); } }); }); return database_promise.then(function(database) { if (database) { const options = { isCaseSensitive: false, includeScore: true, shouldSort: true, // includeMatches: false, // findAllMatches: false, // minMatchCharLength: 1, // location: 0, threshold: 0.2, // distance: 100, // useExtendedSearch: false, ignoreLocation: true, // ignoreFieldNorm: false, // fieldNormWeight: 1, keys: [ "title" ] }; let curriculum_index={}; let topics_index={}; database.curriculum.forEach(c => curriculum_index[c.id]=c); database.topics.forEach(t => topics_index[t.id]=t); for (j=0; j

    Solutions
  • Textbooks
  • `); } function build_solutions() { if (Array.isArray(solution_search_result)) { const viewAllHTML = userSubscribed ? `View All` : ''; var solutions_section = $(`
  • Solutions ${viewAllHTML}
  • `); let questionUrl = "/questions/xxx/"; let askUrl = "/ask/question/xxx/"; solution_search_result.forEach((elem) => { let url = ('course' in elem)?askUrl:questionUrl; let solution_type = ('course' in elem)?'ask':'question'; let subtitle = ('course' in elem)?(elem.course??""):(elem.book ?? "")+"    "+(elem.chapter?"Chapter "+elem.chapter:""); solutions_section.find('#whiletyping-solutions').append(` ${elem.text} ${subtitle} `); }); $('#search-solution-options').empty(); if (Array.isArray(solution_search_result) && solution_search_result.length>0){ $('#search-solution-options').append(solutions_section); } MathJax.typesetPromise([document.getElementById('search-solution-options')]); } } function build_textbooks() { $('#search-pretype-options').empty(); $('#search-pretype-options').append($('#search-solution-options').html()); if (Array.isArray(textbook_search_result)) { var books_section = $(`
  • Textbooks View All
  • `); let searchUrl = "/books/xxx/"; textbook_search_result.forEach((elem) => { books_section.find('#whiletyping-books').append(` ${elem.title} ${ordinal(elem.edition)} ${elem.author} `); }); } if (Array.isArray(textbook_search_result) && textbook_search_result.length>0){ $('#search-pretype-options').append(books_section); } } function build_popup(first_time = false) { if ($('#search-text').val()=='') { build_pretype(); } else { solution_and_textbook_search(); } } var search_text_out = true; var search_popup_out = true; const is_login = false; const user_hash = null; function pretype_setup() { $('#search-text').focusin(function() { $('#search-popup').addClass('show'); resize_popup(); search_text_out = false; }); $( window ).resize(function() { resize_popup(); }); $('#search-text').focusout(() => { search_text_out = true; if (search_text_out && search_popup_out) { $('#search-popup').removeClass('show'); } }); $('#search-popup').mouseenter(() => { search_popup_out = false; }); $('#search-popup').mouseleave(() => { search_popup_out = true; if (search_text_out && search_popup_out) { $('#search-popup').removeClass('show'); } }); $('#search-text').on("keyup", delay(() => { build_popup(); }, 200)); build_popup(true); let prevbookUrl = `/search/pretype_books/`; let prebooks = null; try { prebooks = JSON.parse(localStorage.getItem('PRETYPE_BOOKS_'+(is_login?user_hash:'ANON'))); }catch(e) {} if (prebooks && 'previous_books' in prebooks && 'recommended_books' in prebooks) { if (is_login) { previous_books = prebooks.previous_books; recommended_books = prebooks.recommended_books; if (prebooks.time && new Date().getTime()-prebooks.time<1000*60*60*6) { build_popup(); return; } } else { anon_pretype(); return; } } $.ajax({ url: prevbookUrl, method: 'POST', data:{csrfmiddlewaretoken: "z9S2vsX0oUQRxVZtb5GGV6Fnd1eV0KJddtbfmgrU0IuEt7AW1Me3L03I9FSkuw6V"}, success: function(response){ previous_books = response.previous_books; recommended_books = response.recommended_books; if (is_login) { localStorage.setItem('PRETYPE_BOOKS_'+user_hash, JSON.stringify({ previous_books: previous_books, recommended_books: recommended_books, time: new Date().getTime() })); } build_popup(); }, error: function(response){ console.log(response); } }); } $( document ).ready(pretype_setup); $( document ).ready(function(){ $('#search-popup').on('click', '.search-view-item', function(e) { e.preventDefault(); let autoCompleteSearchViewUrl = `/search/autocomplete_search_view/`; let objectUrl = $(this).attr('href'); let selectedId = $(this).data('objid'); let searchResults = []; $("#whiletyping-solutions").find("a").each(function() { let is_selected = selectedId === $(this).data('objid'); searchResults.push({ objectId: $(this).data('objid'), contentType: $(this).data('contenttype'), category: $(this).data('category'), selected: is_selected }); }); $("#whiletyping-books").find("a").each(function() { let is_selected = selectedId === $(this).data('objid'); searchResults.push({ objectId: $(this).data('objid'), contentType: $(this).data('contenttype'), category: $(this).data('category'), selected: is_selected }); }); $.ajax({ url: autoCompleteSearchViewUrl, method: 'POST', data:{ csrfmiddlewaretoken: "z9S2vsX0oUQRxVZtb5GGV6Fnd1eV0KJddtbfmgrU0IuEt7AW1Me3L03I9FSkuw6V", query: $('#search-text').val(), searchObjects: JSON.stringify(searchResults) }, dataType: 'json', complete: function(data){ window.location.href = objectUrl; } }); }); });
    Find the solution u = u(x,t) of the following equation: au + 1e^(ax-2) satisfying ICu(x,0) = x+4, and BCu(0,t) = 1; u(4,t) = 2. (2024)

    FAQs

    How do you find the solution to the equation? ›

    Substitute the number for the variable in the equation. Simplify the expressions on both sides of the equation. Determine whether the resulting equation is true. If it is true, the number is a solution.

    What is the solution of that equation? ›

    A solution of an equation is any value of the variable that satisfies the equality, that is, it makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation the same value. To solve an equation is to find the solution(s) for that equation.

    What is a solution formula? ›

    The product of concentration (C) and volume (V) is the amount of solute, i.e., Amount of solute =C in amount of solute volume of solution ×V in volume of solution.

    How do you calculate the solution? ›

    In chemistry, a solution's concentration is how much of a dissolvable substance, known as a solute, is mixed with another substance, called the solvent. The standard formula is C = m/V, where C is the concentration, m is the mass of the solute dissolved, and V is the total volume of the solution.

    What is this solution? ›

    A solution is a hom*ogeneous mixture of one or more solutes dissolved in a solvent. solvent: the substance in which a solute dissolves to produce a hom*ogeneous mixture. solute: the substance that dissolves in a solvent to produce a hom*ogeneous mixture.

    How to solve an equation? ›

    In order to solve equations, you need to work out the value of the unknown variable by adding, subtracting, multiplying or dividing both sides of the equation by the same value. Combine like terms. Simplify the equation by using the opposite operation to both sides. Isolate the variable on one side of the equation.

    How to check your solution in math? ›

    In a math class, verifying that you arrived at the correct solution is very good practice. We check a solution to an equation by replacing the variable in the equation with the value of the solution. A solution should result in a true statement when simplified.

    What calculator solves integration? ›

    Wolfram|Alpha is a great tool for calculating antiderivatives and definite integrals, double and triple integrals, and improper integrals.

    How to find an integral? ›

    To find the definite integral of a function, we can use the Fundamental Theorem of Calculus, which states: If f is continuous and F is an antiderivative of f, then ∫ a b f ( x ) d x = [ F ( x ) ] a b = F ( b ) − F ( a ) \int_{a}^{b} f(x)dx = [F(x)]^b_a = F(b) - F(a) ∫abf(x)dx=[F(x)]ab=F(b)−F(a).

    What is the formula for integration ax dx? ›

    ∫ ax dx = (ax/ln a) + C ; a>0, a≠1.

    What is integration for dummies? ›

    In Maths, integration is a method of adding or summing up the parts to find the whole. It is a reverse process of differentiation, where we reduce the functions into parts. This method is used to find the summation under a vast scale.

    How do you do integration? ›

    Integration is the inverse process to differentiation. Some people call it anti-differentiation. Instead of multiplying the power at the front and subtracting one from the power, we add one to the power and then divide by the new power.

    How to find the solution set to an equation? ›

    To find the solution set of an equation with a given domain, you first need to plug each value in the domain into the equation to get the respective range values. Create ordered pairs from these values and write them as a set. That set is your answer!

    How to find the solution to the system of equations? ›

    Solving systems of equations by substitution follows three basic steps. Step 1: Solve one equation for one of the variables. Step 2: Substitute this expression into the other equation, and solve for the missing variable. Step 3: Substitute this answer into one of the equations in order to solve for the other variable.

    What is the formula of solutions? ›

    Once the molecular weight of the solute is known, the weight of chemical to dissolve in a solution for a molar solution less than 1M is calculated by the formula: grams of chemical = (molarity of solution in mole/liter) x (MW of chemical in g/mole) x (ml of solution) ÷ 1000 ml/liter.

    Top Articles
    41 Vitamix Recipes That’ll Surprise
    Dairy-Free Recipes Archives
    Katie Nickolaou Leaving
    Joi Databas
    Elleypoint
    Ffxiv Shelfeye Reaver
    The Daily News Leader from Staunton, Virginia
    Txtvrfy Sheridan Wy
    According To The Wall Street Journal Weegy
    Gw2 Legendary Amulet
    Sunday World Northern Ireland
    Matthew Rotuno Johnson
    Explore Top Free Tattoo Fonts: Style Your Ink Perfectly! 🖌️
    Houses and Apartments For Rent in Maastricht
    Define Percosivism
    How Much You Should Be Tipping For Beauty Services - American Beauty Institute
    Tygodnik Polityka - Polityka.pl
    All Obituaries | Buie's Funeral Home | Raeford NC funeral home and cremation
    Wgu Academy Phone Number
    Curver wasmanden kopen? | Lage prijs
    Little Caesars 92Nd And Pecos
    Gina Wilson All Things Algebra Unit 2 Homework 8
    Sussyclassroom
    Used Safari Condo Alto R1723 For Sale
    The EyeDoctors Optometrists, 1835 NW Topeka Blvd, Topeka, KS 66608, US - MapQuest
    Holiday Gift Bearer In Egypt
    If you have a Keurig, then try these hot cocoa options
    What Is The Lineup For Nascar Race Today
    Sadie Sink Reveals She Struggles With Imposter Syndrome
    Does Hunter Schafer Have A Dick
    Turns As A Jetliner Crossword Clue
    Superhot Free Online Game Unblocked
    Core Relief Texas
    Possum Exam Fallout 76
    Vadoc Gtlvisitme App
    A Small Traveling Suitcase Figgerits
    Police Academy Butler Tech
    Ljw Obits
    RALEY MEDICAL | Oklahoma Department of Rehabilitation Services
    Winco Money Order Hours
    Doordash Promo Code Generator
    St Anthony Hospital Crown Point Visiting Hours
    Samantha Lyne Wikipedia
    814-747-6702
    Quick Base Dcps
    Brother Bear Tattoo Ideas
    Beds From Rent-A-Center
    Das schönste Comeback des Jahres: Warum die Vengaboys nie wieder gehen dürfen
    Secrets Exposed: How to Test for Mold Exposure in Your Blood!
    Grace Family Church Land O Lakes
    Runelite Ground Markers
    Nkey rollover - Hitta bästa priset på Prisjakt
    Latest Posts
    Article information

    Author: Greg O'Connell

    Last Updated:

    Views: 6309

    Rating: 4.1 / 5 (42 voted)

    Reviews: 89% of readers found this page helpful

    Author information

    Name: Greg O'Connell

    Birthday: 1992-01-10

    Address: Suite 517 2436 Jefferey Pass, Shanitaside, UT 27519

    Phone: +2614651609714

    Job: Education Developer

    Hobby: Cooking, Gambling, Pottery, Shooting, Baseball, Singing, Snowboarding

    Introduction: My name is Greg O'Connell, I am a delightful, colorful, talented, kind, lively, modern, tender person who loves writing and wants to share my knowledge and understanding with you.