List of top Mathematics Questions on Differential Equations asked in CUET (PG)

A complete solution of \( y'' + a_1 y' + a_2 y = 0 \) is \( y = b_1 e^{-x} + b_2 e^{-3x} \), where \( a_1, a_2, b_1 \) and \( b_2 \) are constants, then the respective values of \( a_1 \) and \( a_2 \) are:

The solution of the differential equation \( xdy - ydx = (x^2+y^2)dx \), is