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

Question

TextParticular Solution of a Differential EquationCBSE PYQ

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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.

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

Particular Solution of a Differential Equation

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.

Find the particular solution of the differential equation (1 + x²) dy/dx + 2xy = 1/(1 + x²), given that y = 0 when x = 1.