Question

Use the seperation of variables to find all the solutions on the form F(x)G(y) to the...

Use the seperation of variables to find all the solutions on the form

F(x)G(y) to the boundary value problems

u(x,0)=0 and u(x,1)=0

Where

uxx=uyy

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Answer #1

Any doubt in this then comment below..

Here only boundary conditions is given ...no initial condition given ..therefore we find solution in general form ..

Note one more thing.... Solution of laplace equation are expressed in 2 ways..

One is exponential way...

Another is hyperbolic function way...i provide you both ways ok...both are same...

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