# How do you solve this PDE?

1. Jan 22, 2012

### ArainGrass

(∂^2)(z) / (∂x)(∂y) = (x^2)(y)

how do find the general solution of this equation?

and how do i find a particular solution for which

z(x,0) = x^2
z(1,y) = cosy

I have no idea!

Last edited: Jan 22, 2012
2. Jan 22, 2012

### I like Serena

Welcome to PF, ArainGrass!

Integrate with respect to x and add an integration constant which is a function of y.
Integrate again with respect to y and add another integration constant which is a function of x.