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To solve a **homogeneous** differential equation of degree 1 (e.g. $dy/dx = f(y/x)$), the standard substitution is:
A$y = x + v$
B$y = vx$
C$y = v + 1/x$
D$y = e^x v$
Answer & Solution
Correct answer: B. $y = vx$
Substitute $y = vx$, so $dy/dx = v + x\,dv/dx$. This converts the equation to a variables-separable form in $v$ and $x$.
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