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Single Variable Calculus

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Moderate

Check Solutions to a Differential Equation

SVCALC-SDBTMI

Which function will satisfy the following differential equation?

$$y+y' = x^2+4x+2$$

A

$y=x^2+4x+2$

B

$y=\dfrac{1}{3}x^3+2x^2+2x$

C

$y=x^2+4x+2$

D

$y=x^2+2x$