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2 parts: Solve the PDE using LaPlace Transforme: (A and B are constants) (Part 1) ut = uxx,...

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Advance Math

2 parts:

Solve the PDE using LaPlace Transforme: (A and B areconstants)

(Part 1) ut = uxx, 00

u(x,0) = A,

ux(0, t) = 0,

u(l, t)= B

(Part 2) utt = uxx,  0< x< l , t >0

u(x,0) = ut(x,0) = 0

u(0,t) =0,

u(l, t)=A

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