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Which of the following is a homogeneous differential equation?(A) `(4x + 6y + 5) dy (3y + 2x + 4) dx = 0`(B) `(x y)dx-(x^3+y^3)dy=0`(C) `(x^3+2y^2)dx+2x ydy=0`(D) `y^2dx+(x^2-x y-y^2)dy=0`

A

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

B

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

C

`(x^(3)+2y^(2))dx+2xy dy=0`

D

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

Text Solution

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The correct Answer is:
D
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