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Differential Equations · 2025 · Shift 2

1 Mathematics questions from this JEE Advanced paper

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JEE Advanced
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2025 · Shift 2
Mathematics
Differential Equations

Differential Equations · 2025 · Shift 2

1 Mathematics questions from this JEE Advanced paper

Q25.Let $y (x)$ be the solution of the differential equation $x^{2} \frac{d y}{d x} + x y = x^{2} + y^{2}, x > \frac{1}{e}$ satisfying $y (1) = 0$ . Then the value of $2 \frac{( y ( e ) ) ^{2}}{y ( e ^{2} )}$ is .
Mathematics · Differential Equations · Numerical