I don't understand why X'(0)=0 and not X(0)=0 because in the previous problems, the initial conditions were X(0)=0. SafariFileEditViewHistoryBookmarksWindowHelp* 2 Mon 10:48 PM EA bartleby.comUpdates AvailableRestartDo you want to restart to install theseupdates now or try tonight?Later= bartlebySearch for textbooks, step-by-step explanations to homework .Ask an ExpertInstall SimUTextScreen Shot2021-03...8.09 PME Bundle: Differential Equations with Bou...< Chapter 12.3, Problem 4E >Get live help whenever you need from online tutors! Try bartleby tutor today →kX" () Т () %—DX () T ()X"(t)X(t)T'(t)kT(t)(4)= -1Feb 18, 2021 at11-18 P...pnglmageLead to the two ordinary differential equations,X" (t) + 1X (t) = 0(5)And,T' (t) + kAT (t) = 0(6)Use boundary conditions (2) in u (x, t) = X (t) T (t) are,u (0, t) = X (0) T (t) =0 And u (L, t) = X (L) T (t) =0Since T (t) + 0 for all t, so only condition which holds above whenX GET 10 FREE QUESTIONSX' (0) =0 and X' (L) =0.Privacy - TermsThe corresponding solutions of the differential equations, given byMAR29étv SafariFileEditViewHistoryBookmarksWindowHelp* 2 Mon 10:48 PM EA bartleby.comUpdates AvailableRestartDo you want to restart to install theseupdates now or try tonight?Later= bartlebySearch for textbooks, step-by-step explanations to homework .Ask an ExpertInstall SimUTextE Bundle: Differential Equations with Bou...< Chapter 12.3, Problem 4E >Get live help whenever you need from online tutors! Try bartleby tutor today >Bundle: DifferentialChapter 12.3, Problem 4EQ & AEquations wit...Stuck on your9th EditionTextbook ProblemFeb 18, 2021 at11-18 P...pnglmageDennis G. ZillhomeworkBuy 2Publisher: Cengage LearningAsk a question andISBN: 9781337604918get an expertlySolve Problem 3 if L= 2 andcurated answer in asfast as 30 minutes.*Solutionsх, 0 <х<1f (x) =10, 1< x < 2.ChapterAsk an Expert12 Boundary-value Problems In Rec ▼19 of 30 questions leftthis cycleSectionExpert SolutionRenews on 4/17/2112.3 Heat Equation*Response times varyTo determineby subject andquestion complexifMedian response tiiX GET 10 FREE QUESTIONSis 34 minutes andPTODIENII OLPrivacy - TermsTo calculate: The temperature u (x, t) in a rod of length L, with themay be longer forMAR29

Answered: Image /qna-images/answer/54171c2f-2c97-47af-a522-6b404afa256b.jpg

Use boundary conditions (2) in u (x, 1) = X (t) T (1) are, u (0, t) = X (0) T (t)=0 And u (L, t) = X (L) T (1) =0 Since T (1) # 0 for all t, so only condition which holds above when X' (0) =0 and X' (L) =0.

Use boundary conditions (2) in u (x, 1) = X (t) T (1) are, u (0, t) = X (0) T (t)=0 And u (L, t) = X (L) T (1) =0 Since T (1) # 0 for all t, so only condition which holds above when X' (0) =0 and X' (L) =0.

Advanced Engineering Mathematics

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Chapter2: Second-order Linear Odes

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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I don't understand why X'(0)=0 and not X(0)=0 because in the previous problems, the initial conditions were X(0)=0.

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kX" () Т () %—DX () T ()
X"(t)
X(t)
T'(t)
kT(t)
(4)
= -1
Feb 18, 2021 at
11-18 P...pnglmage
Lead to the two ordinary differential equations,
X" (t) + 1X (t) = 0
(5)
And,
T' (t) + kAT (t) = 0
(6)
Use boundary conditions (2) in u (x, t) = X (t) T (t) are,
u (0, t) = X (0) T (t) =0 And u (L, t) = X (L) T (t) =0
Since T (t) + 0 for all t, so only condition which holds above when
X GET 10 FREE QUESTIONS
X' (0) =0 and X' (L) =0.
Privacy - Terms
The corresponding solutions of the differential equations, given by
MAR
29
étv

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