Find the general solution of the differential equation x(y³ + x³) dy = (2y⁴ + 5x³y) dx.

Question

TextParticular Solution of a Differential EquationHomogeneous Differential EquationsLinear Differential Equations of First OrderCBSE PYQ

The integrating factor of the differential equation (1 – x²) dy/dx + xy = ax, – 1 < x < 1, is :

Find the particular solution of the differential equation given by x² (dy/dx) – xy = x² cos² (y/(2x)), given that when x = 1, y = π/2.