Question:
A homogeneous differential equation of the form $\frac{d x}{d y}=h\left(\frac{x}{y}\right)$ can be solved by making the substitution
A. $y=v x$
B. $v=y x$
C. $x=v y$
D. $x=v$
Solution:
For solving the homogeneous equation of the form $\frac{d x}{d y}=h\left(\frac{x}{y}\right)$, we need to make the substitution as $x=v y$.
Hence, the correct answer is C.