- #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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