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Multivariable Calculus

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Moderate

Find Product of First Four Nonzero Coefficients of Power Series

MVCALC-1GOEMO

Find the product of the first four nonzero coefficients of the power series solution to:

$$(2x+1) y'' - y' + xy = 0, \quad y(0) = 1 \quad y'(0) = 2$$

...centered at $x_0 = 0$.

A

$-2$

B

$-1$

C

$0$

D

$1$

E

None of the Above