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Differential Equations · 2025 · 22 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

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2025 · 22 Jan · Shift 2
Mathematics
Differential Equations

Differential Equations · 2025 · 22 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

Q32.If $x = f (y)$ is the solution of the differential equation $(1 + y^{2}) + (x - 2 e^{t a n^{- 1} y}) \frac{d y}{d x} = 0, y \in (- \frac{π}{2}, \frac{π}{2})$ with $f (0) = 1$ , then $f (\frac{1}{3})$ …
Mathematics · Differential Equations · MCQ
Q47.Let $y = f (x)$ be the solution of the differential equation $\frac{d y}{d x} + \frac{x y}{x ^{2} - 1} = \frac{x ^{6} + 4 x}{1 - x ^{2}}, - 1 < x < 1$ such that $f (0) = 0$ . If $6 \int_{- 1/2}^{1/2} f (x) d x = 2 π - α$ then…
Mathematics · Differential Equations · Numerical