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Find the particular solution of the differential equation dy/dx = y cot 2x, given that y(π/4) = 2.
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.
Find the particular solution of the differential equation x(dy/dx) + x cos²(y/x) = y; given that when x = 1, y = π/4.
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