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Single Variable Calculus

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Linear Differential Equation: $xy' + y=x^3$

SVCALC-SBAHSA

Find general solution of the differential equation:
$$ xy' + y=x^3$$

A

$$\frac{x^3}{4}$$

B

$$\frac{1}{x} \left(\frac{x^5}{5}+C\right)$$

C

$$\frac{x^3}{4}+\frac{1}{x}+C$$

D

$$\frac{1}{x} \left(\frac{x^4}{4}+C\right)$$