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Single Variable Calculus

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Moderate

Linear Differential Equation: $y' + 2xy=x$

SVCALC-VJYGZH

Find general solution of the differential equation:
$$ y' + 2xy=x$$

A

$$e^{-x^2} \left( \frac{1}{2} e^{x^2} +C\right)$$

B

$$\frac{1}{2}e^{x^2}+Ce^{-x^2}$$

C

$$\frac{1}{2}$$

D

$$1+Ce^{-x^2}\frac{x^2}{2}$$