Question

I need to find the similarity solutions of this differential equation.

Answer 1

\[u_t=\frac{ 1 }{x }\frac{ \partial }{ \partial x }(x \frac{ \partial \ln u }{ \partial x })\]

That's what I have to solve with this form:
\[u=e^{at}U(x/e^{at})\] where \[u_x(0,t)=0\] and U is a function of (x/e^(at)) above.

Answer 2

pde

Answer 3

im gonna help u

Answer 4

I already had my test today, now this is just leftover as review. You can try to do it for fun if you want.