Hi all, I wanted to discuss the project "Integrating factors for second order ODEs". First off, is the paper too big for a GSoC project this year since the time limit is reduced? If not, even parts of the paper can be implemented. I have already gone through the paper, and I have some doubts regarding it.
1. For integrating factors of the form µ(x, y') in Section 2.2.1 Case B, the paper states that the integrating factor reduces to a search for µ(x) using the adjoint of the original ODE. Is this already implemented? If not, should it be considered as part of the project? If so, could someone suggest a good paper for this method? 2. In Section 2.2.3 Case A, how is F(x, y') being determined? What I think is the process - Factorize Υ and look for factors which contain y' but not y and take their reciprocal. But what if there are multiple factors? In the given example, there are no such factors, so Derivative(F(x, y'), y') = 1 which gives F(x, y') = y'. Please tell me if I understood it correctly. 3. I couldn't understand how to find F(x, y') in Section 2.2.3 Case B. 4. For integrating factors of the form µ(x, y') in Section 2.3, I couldn't understand how an integrating factor of 1/(y'**2*x) for the transformed ODE implies an integrating factor of 1/y for the original ODE. I tried applying the transformations x->y(x) and y(x)->x to the integrating factor, but I'm getting the integrating factor as y'**2/y. Naveen -- 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 view this discussion on the web visit https://groups.google.com/d/msgid/sympy/41e5ef39-4801-4e09-ab09-45baf3e04a26n%40googlegroups.com.
