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Multivariable Calculus

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True Statements About a Differential Equation

MVCALC-UEP94J

Which of the following statements are true about the differential equation:

$$(x^3 + x^2 -2x) y'' + (x \cos x) y' + (x-2) y = 0$$

A

$x = \pi/2$ is a singular point.

B

$x = 0$ is an ordinary point.

C

There is a Taylor series solution centered about $x = -2$.

D

There is a Taylor series solution centered about $x = 2$.

E

None of the Above