Question
Which of the following is a homogeneous differential equation?
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(4x + 6y + 5) dy – (3y + 2x + 4) dx = 0
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(xy) dx – (x3 + y3) dy = 0
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(x3 + 2 y2) dx + 2xy dy = 0
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y2 dx + (x2 – x y – y2) dy =0
(4x + 6y + 5) dy – (3y + 2x + 4) dx = 0
(xy) dx – (x3 + y3) dy = 0
(x3 + 2 y2) dx + 2xy dy = 0
y2 dx + (x2 – x y – y2) dy =0
Solution
D.
y2 dx + (x2 – x y – y2) dy =0
The equation y2dx + (x2 – xy – y2) dy = 0. which can be written as
as R.H.S. is of form
