# Implicit Diff.

1. May 13, 2005

### physicsss

I have no idea what the hint tells me to do...please help me set the problem up...

#### Attached Files:

• ###### untitled.JPG
File size:
41.7 KB
Views:
101
2. May 13, 2005

### whozum

Its telling you to simplify u(x,y) as part of another function h(t). Choosing

$$h(t) = \frac{t}{(1+t^2)^{1/2}}$$, then h(u) =

$$h(u) = \frac{x-uy}{1+(x-uy)^2)^{1/2}}$$ which is your original function. From there:

$$u(x,y) = h(x-uy), u - h(x-uy) = 0$$, where you can solve the PDE