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  • Which of the following is a homogeneous differential equation? (A) (B) (C) (D)

Q17.    Which of the following is a homogeneous differential equation?

            (A)    (4x + 6x +5)dy - (3y + 2x +4)dx = 0

            (B)    (xy)dx - (x^3 + y^3)dy = 0

            (C)    (x^3 +2y^2)dx + 2xydy =0

            (D)    y^2dx + (x^2 -xy -y^2)dy = 0

Answers (1)

best_answer

Option D is the right answer.

y^2dx + (x^2 -xy -y^2)dy = 0
\frac{dy}{dx}=\frac{y^{2}}{x^{2}-xy-y^{2}} = F(x,y)
we can take out lambda as a common factor and it can be cancelled out 

Posted by

manish

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