Differential Equations

Bihar Board Class 12 · Mathematics · 47 past questions

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1. Q2 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   The integrating factor of the differential equation $(1+x^2)\frac{dy}{dx} + y = e^{\tan^{-1}x}$ is

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2. Q6 2025

   Integrating factor of the differential Equation $\dfrac{dy}{dx} + y\log x = \cos x$ is

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3. Q7 2025

   Solution of Differential equation $y\log y\,dx - x\,dy = 0$ is

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4. Q10 2025

   Find the integrating factor of the differential equation $(1-x^2)\dfrac{dy}{dx}-xy=1$.

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5. Q33 2018

   solution of the differential equation $y\,dx - x\,dy = xy\,dx$ is

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6. Q34 2018

   Integrating factor (I.F) of differential equation $\frac{dy}{dx} + \frac{y}{x} = \frac{y^2}{x^2}$ is

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7. Q35 2018

   solution of $\frac{x\,dy - y\,dx}{x^2 + y^2} = 0$ is…

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8. Q36 2018

   Solve: $(x^2-y^2)\dfrac{dy}{dx}=2xy$

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9. Q37 2018

   Evaluate $x\cos x\dfrac{dy}{dx}+y(x\sin x+\cos x)=1$

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10. Q41 2017

    Solve $\frac{dy}{dx} - \frac{xy}{1 - x^2} = \frac{1}{1 - x^2}$.

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11. Q45 2015

    The integrating factor of the linear differential equation $\dfrac{dy}{dx} = y\tan x\sec^2 x$

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12. Q47 2015

    Solve the differential equation: $(x-y)\,dy-(x+y)\,dx=0$

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