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0 votes
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in Differential equations by (55.0k points)

The solution of ye-x/ydx - (xe-x/y + y3)dy = 0 is

(A) y2/2 + e-x/y = k

(B) x2/2 + e-x/y = k

(C) x2/2 + ex/y = k

(D) y2/2 + ex/y = k

1 Answer

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by (52.7k points)
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Best answer

Answer is (B) x2/2 + e-x/y = k

On integrating both sides, we get

k - e-x/y = y2/2 ⇒ y2/2 + e-x/y = k

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