# Homework Help: Differential equations; wave equation

1. Mar 29, 2009

### briteliner

1. The problem statement, all variables and given/known data
the transverse displacement y(x,t) (assumed small) of a string stretched between the points x=0 and x=a satisfies the equation
d2y/c2dt2=d2y/dx2

find the solution satisfying the following (t=0) initial conditions
(i) y(x,0)= Lsin($$\pi$$x/a), (dy/dt)(x,0)=0
all derivatives are partial.
2. Relevant equations

3. The attempt at a solution
there are more parts to the problem but if i can get started on this one i think i can figure them out. i don't know where to start since the y(x,0) doesn't depend on t. so when i take the partial with respect to t would it just be 0??