Question

A homogeneous differential equation of the $\frac{dx}{dy}=h\left(\frac{x}{y}\right)$ can be solved by making the substitution

• A. y = vx
• B. v = yx
• C. x = vy
• D. x = v

Answer 1

Answer: (C)

For solving the homogeneous equation of the form $\frac{dx}{dy}=h\left(\frac{x}{y}\right)$, we make the substitution x = vy