Let x = x(y) be the solution of the differential equation y² dx +… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 22 January, Shift 1Linear Differential Equations

Let $x = x(y)$ be the solution of the differential equation $y^2 \, dx + \left( x - \frac{1}{y} \right) dy = 0$ . If $x(1) = 1$ , then $x\left( \frac{1}{2} \right)$ is :

A
$\frac{1}{2} + e$
B
$\frac{3}{2} + e$
C
$3 - e$
D
$3 + e$

Answer & step-by-step solution

Practice more Linear Differential Equations questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Linear Differential Equations

Answer & step-by-step solution

Practice more Linear Differential Equations questions

Related questions