Differential Equations

JEE Advanced · Mathematics · 31 past questions

10 of 31 · show all

1. Q2 2026 Paper 2

   Let $y=f(x)$ be the real valued function defined on the interval $(0,\infty)$, satisfying $y(1)=0$ and the…

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2. Q3 2025 Paper 1

   For all $x>0$, let $y_1(x)$, $y_2(x)$, and $y_3(x)$ be the functions satisfying…

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3. Q7 2023 Paper 2

   For $x \in \mathbb{R}$, let $y(x)$ be a solution of the differential equation…

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4. Q9 2022 Paper 2

   For $x \in \mathbb{R}$, let the function $y(x)$ be the solution of the differential equation…

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5. Q10 2021 Paper 2

   For any real numbers $\alpha$ and $\beta$, let $y_{\alpha,\beta}(x),\ x\in\mathbb{R}$, be the solution of the…

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6. Q16 2016 Paper 1

   Let $f:(0,\infty)\to\mathbb{R}$ be a differentiable function such that $f'(x)=2-\dfrac{f(x)}{x}$ for all…

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7. Q18 2015 Paper 1

   Let $y(x)$ be a solution of the differential equation $(1+e^x)y' + ye^x = 1$. If $y(0)=2$, then which of the…

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8. Q20 2014 Paper 2

   The function $y = f(x)$ is the solution of the differential equation…

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9. Q22 2012 Paper 1

   If $y(x)$ satisfies the differential equation $y'-y\tan x=2x\sec x$ and $y(0)=0$, then

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10. Q24 2011 Paper 2

    Let $y'(x)+y(x)g'(x)=g(x)g'(x)$, $y(0)=0$, $x\in\mathbb{R}$, where $f'(x)$ denotes $\dfrac{d\,f(x)}{dx}$ and…

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