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). Solve the initial value problem: du dx X ди +(t+1)=u, t>0 dt u(x,0) = f(x)

). Solve the initial value problem: du dx X ди +(t+1)=u, t>0 dt u(x,0) = f(x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Do 3(a) part only
3. (a). Solve the initial value problem: du du X +(t+1)=u, t>0 dt əx u(x,0) = f(x) (b). Solve the following partial differential equation by using Laplace transforms du du ·+· -=x, x>0, t>0, dx Ət with initial and boundary conditions u(0,t) = 0 and u(x,0) = 0.
Transcribed Image Text:3. (a). Solve the initial value problem: du du X +(t+1)=u, t>0 dt əx u(x,0) = f(x) (b). Solve the following partial differential equation by using Laplace transforms du du ·+· -=x, x>0, t>0, dx Ət with initial and boundary conditions u(0,t) = 0 and u(x,0) = 0.
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