Q. The solution of the differential equation $\frac{x + y\ \frac{dy}{dx}}{y - x\frac{dy}{dx}} = x^{2} + 2y^{2} + \frac{y^{4}}{x^{2}}$ is
A) $\frac{y}{4} + \frac{1}{x^{2} + y^{2}} = c$
B) $\frac{y}{x} - \frac{1}{x^{2} + y^{2}} = c$
C) $\frac{x}{y} - \frac{1}{x^{2} + y^{2}} = c$
D) None of these
Explanation
The correct answer is Option B: $\frac{y}{x} - \frac{1}{x^{2} + y^{2}} = c$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.