Given the following DE: $$2x^2y''+xy'-(x+1)y=0$$
A) Find its indicial equation for Frobenius method.

B)Find two linearly independent Frobenius series solutions using the value of '$m$' obtained from the indicate equation in part A. [ List at least 4 term of each solution].

Please help me with this problem, step by step please. Thank You.


The first step is to find the indicial polynomial. Substitute, $$y(x)=\sum_{n=0}^{\infty}a_{n}x^{n+r}$$ and try to simplify the equation following the general procedure mentioned here. You should get,



Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.