Find the particular solution of the differential equation x(dy/dx) + 2y = x² log x, given y(1) = 1.

Question

TextParticular Solution of a Differential EquationLinear Differential Equations of First OrderCBSE PYQ

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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.

Particular Solution of a Differential Equation

Homogeneous Differential Equations

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

Find the general solution of the differential equation : y dx = (x + 2y²) dy

x log x dy/dx + y = 2 log x is an example of a :

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