Question

Can anyone explain to me about solving partial differential equation with characteristic method?
or any reference to study...

I really have no idea about this...

Answer 1

enclosed is a pdf link, may it helpful,
http://www.math.ucsb.edu/~grigoryan/124A.pdf

Answer 2

thank you... :)

Answer 3

not mention.....please read at first & then tell us.

Answer 4

I don't really understand when the right side of the differential equation is not zero...,
can you explain it?

Answer 5

If it is not '0' in right side, you make it by transfer that value in left side.

Answer 6

so.., if I have PDE
\( \Large \frac{\partial u }{\partial t} + x \frac{\partial u}{\partial x} = 1\)
should I move the '1' to the left side?

so far I get the characteristic equation
\( \frac{dx}{dt} = x \) and \( \frac{du}{dt} = 1 \)

and end up with getting \( x = xt+ x_0 \) and \(u = t + u_0\)
and have no idea what to do next...
is it correct?