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Finding All Regular Singular Points

DIFFEQ-3KXXCS

Consider the equation $(x+1)^2(x+2)y''-2(x+2)y'+e^xy=0$.

Find all regular singular points of this equation.

A

Only $x=-1$

B

Only $x=-2$

C

Both $x=-1$ and $x=-2$

D

Neither $x=-1$ nor $x=-2$