Question

Find the particular solution of the differential equation dy/dx = y cot 2x, given that y(π/4) = 2.

Find the particular solution of the differential equation (xe^(y/x) + y) dx = x dy, given that y = 1 when x = 1.

Find the particular solution of the differential equation dy/dx − 2xy = 3x² e^(x²) ; y(0) = 5.

Solve the following differential equation : x² dy + y(x + y) dx = 0