Recent content by pbecker314

Thanks, I do appreciate the effort! I figured there might be Heun solutions, buy they are not very convenient since there is no global theory for those functions. Also, they need to be computed using a two-term recurrence relation, which is a bit of a pain. Hence my hope for a...

Hi All; In the course of my research, I need to solve the ODE x*(1+x)*y''(x) + (3 + A*x + B*x^2)*y'(x) + (C + 4*B*x)*y(x) = 0 It's somewhat similar to the hypergeometric equation, but so far I can't find any closed-form solution. Of course, I can obtain power series solutions using the...

All; I have encountered a nonlinear first-order differential equation in my research. It appears rather simple yet I have been unable to solve it. Any clues/tips would be highly appreciated. First I state it in the original form: y'[x] - 1/y[x] = - Exp[-1/x] / x^2 Next I state it...