The solution of the differential equation x d y + y x d x = d x x is (where, c is an arbitrary constant)

Question

The solution of the differential equation x d y + y x d x = d x x is (where, c is an arbitrary constant), y = 1 + c e 1 / x, y = c e 1 / x, y = c e 1 / x - 1, x y = 1 - c e 1 / x

MARKS App · Accepted Answer

The given differential equation can be written as, d y d x + 1 x 2 ⋅ y = 1 x 2 Integrating factor is e - 1 / x ⇒ y . e - 1 / x = ∫ 1 x 2 . e - 1 / x d x Hence, the solution is y = 1 + c e 1 / x

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