First order non linear partial differential equations

[yemmdizzle006]

Consider the following function of space and time for a propagating plane wave were nonlinear effects are included via a constant "B"

u(x,t) = u[t - x/[c + Bu(x,t)]]


show that u(x,t) satisfies a first order non linear PDE.

 

[Mark44]

We're not here to do your work for you. Show us what you have tried to do, and we can go from there.