Question

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.

Find the particular solution of the differential equation dy/dx = (x + y)/x, y(1) = 0.

Find the particular solution of the differential equation dy/dx = xy/(x² + y²), given that y = 1 when x = 0.