The solution of the differential equation d y d x = x - y x + 4 y is (where C is the constant of integration)

Question

The solution of the differential equation d y d x = x - y x + 4 y is (where C is the constant of integration), x y + y 2 = x + C, x y - y 2 = x 2 + C, x y + 2 y 2 = x 2 + C, 2 x y + 4 y 2 = x 2 + C

MARKS App · Accepted Answer

Given equation is x d y + 4 y d y = x d x - y d x or x d y + y d x + 4 y d y = x d x or d x y + 4 y d y = x d x Integrating, we get x y + 2 y 2 = x 2 2 + C

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