- #1
geoffrey159
- 535
- 72
Homework Statement
Find the polynomials P in R[X] such that
## X(X+1) P'' +(X+2) P' -P = 0 ##
Homework Equations
If P is a solution, I assume ## P = \sum_{n=0}^N a_nX^n##
The Attempt at a Solution
I get the answer ##\{\alpha (X+2),\alpha\in\mathbb{R}\} ##, but I've done many calculation errors before getting it right.
Is there a way to solve that problem without too much calculation ?
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