?

AP® World History

Free Version

Upgrade subject to access all content

Moderate

Linear Differential Equation with Trigonometric Functions

SVCALC-QN7GLP

Find general solution of the differential equation:
$$ \sin(x) y'+\cos(x) y=2 \sin^3(x) \cos(x)$$

A

$\left(\frac{\cos^3(x)}{2}+\dfrac{C}{\sin(x)}\right)$

B

$\left(\frac{\cos^3(x)}{2}+\dfrac{C}{\cos(x)}\right)$

C

$\left(\frac{\sin^3(x)}{2}+C \sec(x)\right)$

D

$\left(\frac{\sin^3(x)}{2}+C \csc(x)\right)$