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Differential Equations · 2016 · Shift 1

2 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2016 · Shift 1
Mathematics
Differential Equations

Differential Equations · 2016 · Shift 1

2 Mathematics questions from this JEE Advanced paper

Q23.A solution curve of the differential equation $(x^{2} + x y + 4 x + 2 y + 4) \frac{d y}{d x} - y^{2} = 0,$ $x > 0,$ passes through the point $(1, 3)$ . Then the solution curve
Mathematics · Differential Equations · Multiple correct
Q32.Let $f : (0, \infty) \to R$ be a differentiable function such that $f^{'} (x) = 2 - \frac{f ( x )}{x}$ for all $x \in (0, \infty)$ and $f (1) e 1$ . Then
Mathematics · Differential Equations · Multiple correct