Mark the correct alternative in each of the following:
Which of the following is a homogeneous differential equation?
A. (4x + 6y + 5) dy – (3y + 2x + 4) dx = 0
B. xy dx – (x3 + y3) dy = 0
C. (x3 + 2y2) dx + 2xy dy = 0
D. y2 dx + (x2 – xy) – y2) dy = 0
We know the property of homogeneous differential equation i.e.
⇒ f (λ x, λ y) = f (x, y)
In the given set of options, option (D) is correct as addition of power is same throughout the equation.
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