- #1
dingop
- 2
- 0
Homework Statement
This is a simple pde I need to solve in order to determine a straightforward expansion for a given overall equation.
Homework Equations
[tex]\partial[/tex]u/[tex]\partial[/tex]x+[tex]\partial[/tex]u/[tex]\partial[/tex]y=0
with initial condition:
u(x,0)=epsilon*phi(x)
The Attempt at a Solution
I used the method of associated equations and got the answer of u=f(x-y); indeed u(x,y)=x-y does satisfy the equation. However, there is no way to input a constant and solve for the constant to satisfy the initial condition. Any help will be appreciated! thanks!