Multivariable Calculus

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Point with Taylor Series Solution About x = x_0

MVCALC-ODKLXD

Given the following differential equation:

$$(x^3-4x) y'' + (x+1) y' + y = 0$$

...which of the following points will have a Taylor series solution about $x = x_0$?

A

$x_0 = -2$

B

$x_0 = 0$

C

$x_0 = 1$

D

$x_0 = 2$

E

None of the Above