Recent content by Lucradan

The PDE equation system is with intial conditions x(s,0) = x0(s) y(s,0) = y0(s) and g(s) is positive function of s, by the way and has domain s>=0 g'(s) is shorthand for dg/ds

g(s) is an arbitrary function just like x0(s) and y0(s).

I thank you for your help. I'm still a little stuck on what to do with this PDE now: d2x/dp2 + g(s)g'(s)*dx/ds+g(s)^2*d2x/ds2 = 0 with initial condition x(0,s) = x0(s). I bought a book on PDEs but I've only gotten as far as characteristic curves. (PDE is a graduate course, so I've not...

Hello Everyone! I'm a newb to these forums, and I'm having some difficulties with my senior thesis and was hoping someone here might be able to help or at least point me in the right direction. I have the following PDE system: dx/dp = - g(s) * dy/ds dy/dp = g(s) * dx/ds with initial...