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1. The problem statement, all variables and given/known data

y(x,t)=sin(x)cos(ct)+(1/c)cos(x)sin(ct)

Boundary Condition:

y(0,t)=y(2pi,t)=(1/c)sin(ct) fot t>0

Initial Condition :

y(x,0)=sin(x),( partial y / Partial t ) (x,0) = cos(x) for 0<x<2pi

show that y(x,t)=sin(x)cos(ct)+(1/c)cos(x)sin(ct) satisfies the one dimensional wave equation together with boundary and initial conditions.

Please any one can clearify the question for me so i can solve it.

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# Homework Help: Wave equation with initial and boundary conditions.

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