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4.8k views
in Differential equations by (54.9k points)

The solution of the differential equation (3xy + y2)dx + (x2 + xy)dy = 0 is

(A) x2(2xy + y2) = c2

(B) x2(2xy - y2) = c2

(C) x2(y2 - 2xy) = c2

(D) None of these

1 Answer

+1 vote
by (52.6k points)
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Best answer

Answer is (A) x2(2xy + y2) = c2

 It can be written in the form of homogeneous equation

Hence, the required solution is x2(2xy + y2) = c2

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