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Find the particular solution of the differential equation : x^2dy/dx - xy = 1 + cos(y/x), x ≠ 0, when x = 1, y = pi/2.

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Find the particular solution of the differential equation : x2dy/dx - xy = 1 + cos(y/x), x ≠ 0, when x = 1, y = pi/2.

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Dividing both sides by x3, we get

Integrating both sides w.r.t. x, we get

For particular solution when x = 1, y = pi/2, we have

Hence particular solution is :

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