Solve PDE: dG/dt=(n*s-u)(s-1)dG/ds

[ksquare]

Hi, could anyone tell me what kind of technique I should use to solve the following PDE?

dG/dt=(n*s-u)(s-1)dG/ds

Many thanks and happy new year to everyone:)

 

[HallsofIvy]

n and u are constants?

You can solve
\frac{ds}{(ns-u)(s-1)}= dt
for the "characteristic" g(u,s)= constant.

For F(t) any differentiable function of single variable, G(u, s)= F(g(u,s)) is a solution to the differential equation.