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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.
The general solution of the differential equation x dy + y dx = 0 is:
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 (xe^(y/x) + y) dx = x dy, given that y = 1 when x = 1.
Find the particular solution of the differential equation dy/dx − 2xy = 3x² e^(x²) ; y(0) = 5.
The general solution of the differential equation dy/dx = e^(x+y) is :
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