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Differential Equations · 2022 · 28 Jul · Shift 1

2 Mathematics questions from this JEE Main paper

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JEE Main
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2022 · 28 Jul · Shift 1
Mathematics
Differential Equations

Differential Equations · 2022 · 28 Jul · Shift 1

2 Mathematics questions from this JEE Main paper

Q23.Let the solution curve of the differential equation $x d y = (x^{2} + y^{2} + y) d x, x > 0$ , intersect the line $x = 1$ at $y = 0$ and the line $x = 2$ at $y = α$ . Then the value of $α$ is :
Mathematics · Differential Equations · MCQ
Q31.If $y = y (x), x \in (0, π /2)$ be the solution curve of the differential equation $(sin^{2} 2 x) \frac{d y}{d x} + (8 sin^{2} 2 x + 2 sin 4 x) y = 2 e^{- 4 x} (2 sin 2 x + cos 2 x)$ , with $y (π /4) = e^{- π}$ …
Mathematics · Differential Equations · MCQ