now substituting these results into the pde we get:
as promised we've got ourselves a second order linear partial differential equation for v(x,t).
Hi, I'm having problems understanding this question and I'm not entierly sure what it even means so some help would be really appreciated!
Using the change of dependent variable: v=e^u, find a second order linear partial differential equation for v(x,t) [This is that I don't understand..what does it mean by "for v(x,t)?] from the following nonlinear partial differential equation for u(x,t):
u_t - (u_x)^2 = u_xx
have a look here: http://www.mathhelpforum.com/math-he...-tutorial.html