Solve the differential equation $\cos x \frac{\mathrm{d}y}{\mathrm{d}x} - 2y \sin x = 3$ for

Question

Solve the differential equation $\cos x \frac{\mathrm{d}y}{\mathrm{d}x} - 2y \sin x = 3$ for $x \in \left] -\frac{\pi}{2}, \frac{\pi}{2} \right[$ where $y = 1$ when $x = 0$.

Accepted Answer

$y=\dfrac{3\sin x+1}{\cos^2x},\quad-\dfrac\pi2<x<\dfrac\pi2$

Solving another first order linear equation

Solving another first order linear equation

Solution:

Solution locked