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Which equation is a homogeneous differential equation?
Ady/dx = x + y + 1
Bdy/dx = x^2 + y/x
Cdy/dx = (x + y)/(x - y)
Ddy/dx = x + y^2 - 1
Answer & Solution
Correct answer: C. dy/dx = (x + y)/(x - y)
Only (x + y)/(x - y) is unchanged when x and y are both scaled, so it is homogeneous of degree zero.
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