
#1
May1211, 08:47 PM

P: 2

1. The problem statement, all variables and given/known data
This is a simple pde I need to solve in order to determine a straightforward expansion for a given overall equation. 2. Relevant 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) 3. The attempt at a solution I used the method of associated equations and got the answer of u=f(xy); indeed u(x,y)=xy 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! 1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution 



#2
May1211, 08:55 PM

HW Helper
Thanks
PF Gold
P: 7,197

u(x,0) = f(x0) = εφ(x) so what does f need to be? 



#3
May1311, 01:50 AM

P: 2

Right now, I actually don't know what f needs to be I just have the PDE equation and the initial condition to satisfy and my previous sample problems involving associated equations had no initial conditions, so I am pretty much lost.. 


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