Solving PDE in Mathematica: Why No Answer?

[adamimos]

Hey all,

I'm trying to solve a PDE in mathematica of this form:

d^2 f / dx^2 = df/dt + f


where f is a function of x and t.

So I input this:

DSolve[D[V[x, t], {x, 2}] == V[x, t] + D[V[x, t], {t, 1}],
V[x, t], {x, t}]

does anyone know why no answer shows up? thanks.

 

[Dale]

It doesn't have a general analytical solution. You will have to do it numerically or use some other problem decomposition.