Question

uxx = ut - u (0<x<1, t>0), boundary conditions: u(1,t)=cost, u(0,t)= 0 initial conditions: u(x,0)= x...

uxx = ut - u (0<x<1, t>0),

boundary conditions: u(1,t)=cost, u(0,t)= 0

initial conditions: u(x,0)= x

i) solve this problem by using the method of separation of variables. (Please, share the solution step by step)

ii) graphically present two terms(binomial) solutions for u(x,1).

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Answer #1

The given problem is to solve by using separation of variables..the steps and procedure is clearly written in the pics...if you have any doubt ask in the comment section...THANK YOU :-)

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