Question

Please solve the following: ut=kuxx+sin3πx, 0<x<1, t>0 u(0,t)=u(1,t)=0, t>0 u(x,0)=sinπx, 0<x<1

Please solve the following:

ut=kuxx+sin3πx, 0<x<1, t>0

u(0,t)=u(1,t)=0, t>0

u(x,0)=sinπx, 0<x<1

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