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Homogeneous DE dy/dx = f(y/x): solved by substitution
Av = x²
Bv = x
Cv = y/x (so y = vx, dy/dx = v + x dv/dx)
Dv = xy
Answer & Solution
Correct answer: C. v = y/x (so y = vx, dy/dx = v + x dv/dx)
For homogeneous DE (f depends only on y/x), substitute v = y/x. Reduces to variable separable form. Standard technique for homogeneous-of-degree-zero rate functions.
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