# [SciPy-user] Relatively simple PDE's and Scipy

Wed Apr 22 05:13:02 CDT 2009

I believe you can solve this particular equation analytically.
For if F(x,t)=f(x,t)/x
x\partial_t F(x,t)+\partial_x F(x,t)=0

is satisfied by F(x,t)=phi(t-.5x^2), where phi is set by e.g. the
boundary condition at x_0 or the initial condition at t_0

Then f(x,t)=phi(t-.5x^2)/x
+
HTH. George Nurser.