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The integrating factor of the differential equation (1 – x²) dy/dx + xy = ax, – 1 < x < 1, is :
The integrating factor of the differential equation (x + 2y²) dy/dx = y (y > 0) is:
The integrating factor of the differential equation (1 - y²) dx/dy + yx = ay, (-1 < y < 1) is
The integrating factor for solving the differential equation x(dy/dx) - y = 2x² is :
The integrating factor of the differential equation (3x² + y) dx/dy = x is
Find the particular solution of the differential equation (1 + x²)(dy/dx) + 2xy = tan x, given y(0) = 1.
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