Differential Equations

JEE Advanced · Mathematics · 31 past questions

7 of 31 · show all

1. 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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2. 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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3. Q17 2016 Paper 1

   A solution curve of the differential equation $(x^2+xy+4x+2y+4)\dfrac{dy}{dx}-y^2=0$, $x>0$, passes through…

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4. Q19 2015 Paper 1

   Consider the family of all circles whose centers lie on the straight line $y = x$. If this family of circles…

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5. Q20 2014 Paper 2

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

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6. Q26 2009 Paper 1

   Let $f$ be a non-negative function defined on the interval $[0,1]$. If…

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7. Q27 2009 Paper 1

   Match the statements/expressions in Column I with the open intervals in Column II.

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