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Differential Equations · 2022 · 26 Jul · Shift 2

2 Mathematics questions from this JEE Main paper

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2022 · 26 Jul · Shift 2
Mathematics
Differential Equations

Differential Equations · 2022 · 26 Jul · Shift 2

2 Mathematics questions from this JEE Main paper

Q28.Let the solution curve $y = f (x)$ of the differential equation $\frac{d y}{d x} + \frac{x y}{x ^{2} - 1} = \frac{x ^{4} + 2 x}{1 - x ^{2}}$ , $x \in (- 1, 1)$ pass through the origin. Then $- \frac{3}{2} \int \frac{3}{2} f (x) d x$ …
Mathematics · Differential Equations · MCQ
Q37.Suppose $y = y (x)$ be the solution curve to the differential equation $\frac{d y}{d x} - y = 2 - e^{- x}$ such that $x \to \infty lim y (x)$ is finite. If $a$ and $b$ are respectively the $x$ - and $y$ -intercepts of the tangent to…
Mathematics · Differential Equations · Numerical