List of top Mathematics Questions on General and Particular Solutions of a Differential Equation asked in AP EAPCET

The general solution of the differential equation \[ \frac{dy}{dx}+\frac{y}{x}=x^2 \] is

If the general solution of the differential equation \[ \cos^2x\frac{dy}{dx}+y=\tan x \] is \[ y=\tan x-1+Ce^{-\tan x} \] and it satisfies \[ y\left(\frac{\pi}{4}\right)=1, \] then \(C=\)