I had been reading this paper by Dr.Starrett and I can very well recall somewhere in my freshman year about PDE's of this type.
Fx * a(x, y) + Fy* b(x, y) = c(x, y) that can be solved by this method dx dy ds ---- === --------- === -------- a(x, y) b(x, y) c(x, y) where s can be found by just integrating (dx * c(x, y)) / a(x, y) However, looking at this random example. Fx( x* y) + Fy( x**2 * y) = 1 This should be solved by: dx dy df ----- === -------- === -------- (x*y) (x**2 * y) 1 just taking the first and the third part, dx / (x * y) = df , we get f = ln(x) / y However If I substitute it back in the equation, fx = 1 / (x*y) and fy = -ln(x) / (y**2) , it doesn't seem to add up to one. Am I missing something, really basic over here? -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sympy?hl=en-US. For more options, visit https://groups.google.com/groups/opt_out.
