Find the particular solution of the differential equation given by 2xy + y² – 2x² dy/dx = 0; y = 2, when x = 1.

Question

TextHomogeneous Differential EquationsSolution of Homogeneous 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.