Question

The general solution of $xp^{2} - 2yp + ax = 0$ is where $p = \frac{dy}{dx}$.

• A. $2x = cy + ac^{2}$
• B. $2y = cx^{2} + \frac{a}{c}$
• C. $y = cx^{2} + ac^{2}$
• D. $y = cx^{2} + \frac{a}{c}$

Hint:

If an equation is easily solvable for $y$, differentiate with respect to $x$ to create a new equation in $p$ and $x$.

Answer 1

The Correct Option is B