The solution of the differential equation d y d x = x - y x - 3 y is (where, c is an arbitrary constant)

Question

The solution of the differential equation d y d x = x - y x - 3 y is (where, c is an arbitrary constant), 2 x y = x 2 + 3 y + c, x y = x 2 + y 2 + c, 2 x y = x 2 + 3 y 2 + c, x y = x 2 + x

MARKS App · Accepted Answer

Given equation is x d y - 3 y d y = x d x - y d x ⇒ x d y + y d x = x d x + 3 y d y or d x y = x d x + 3 y d y On integrating, we get, x y = x 2 2 + 3 y 2 2 + k or 2 x y = x 2 + 3 y 2 + c

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