- #1
maggie56
- 30
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Homework Statement
I have a PDE for which i have found the general solution to be u(x,y) = f1(3x + t) + f2(-x + t)
where f1 and f2 are arbitrary functions. I have initial conditions u(x,0) = sin (x) and partial derivative du/dt (x,0) = cos (2x)
Homework Equations
u(x,y) = f1(3x + t) + f2(-x + t)
u(x,0) = sin (x)
du/dt (x,0) = cos (2x)
The Attempt at a Solution
I have substituted u(x,0) and du/dt (x,0) into the general solution which gives me;
u(x,0) = f1(3x) + f2(-x) = sin (x)
du/dt(x,0) = f1'(3x) + f2'(-x) = cos (2x)
but i am unsure as to where to go from here
Thanks for any help