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Differential Equations

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Moderate

Partial Fraction Decomposition: Repeated Factors

DIFFEQ-YO7II7

The partial fraction decomposition of $\cfrac{y^4+8}{y(y^2+1)^2}$ is given by:

A

$y+\cfrac{8}{y}-\cfrac{9y}{y^2+1}$

B

$\cfrac{8}{y}+\cfrac{-7y^3-16y}{(y^2+1)^2}$

C

$\cfrac{8}{y}-\cfrac{9}{(y^2+1)^2}-\cfrac{7}{y^2+1}$

D

$\cfrac{8}{y}+\cfrac{-9y}{(y^2+1)^2}+\cfrac{-7y}{y^2+1}$