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Differential Equations · 2024 · 29 Jan · Shift 1

2 Mathematics questions from this JEE Main paper

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2024 · 29 Jan · Shift 1
Mathematics
Differential Equations

Differential Equations · 2024 · 29 Jan · Shift 1

2 Mathematics questions from this JEE Main paper

Q49.A function $y = f (x)$ satisfies $f (x) sin 2 x + sin x - (1 + cos^{2} x) f^{'} (x) = 0$ with condition $f (0) = 0$ . Then, $f (\frac{π}{2})$ is equal to
Mathematics · Differential Equations · MCQ
Q60.If the solution curve $y = y (x)$ of the differential equation $(1 + y^{2}) (1 + lo g_{e} x) d x + x d y = 0, x > 0$ passes through the point $(1, 1)$ and $y (e) = \frac{α - t a n ( \frac{3}{2} )}{β + t a n ( \frac{3}{2} )}$ …
Mathematics · Differential Equations · Numerical