CUET and UG exam COMEDK UGET Mock Test Series 2025 Mathematics Differential Calculus Evaluation of derivatives
If \(\rm y=\frac{x}{\log_e|cx|}\) is the solution of the differential equation \(\rm \frac{dy}{dx}=\frac{y}{x}+ϕ\left(\frac{x}{y}\right)\), then ϕ\(\rm \left(\frac{x}{y}\right)\) is given by
1
\(\rm \frac{y^2}{x^2}\)
2
\(-\rm \frac{y^2}{x^2}\)
3
\(\rm \frac{x^2}{y^2}\)
4
\(-\rm \frac{x^2}{y^2}\)