Differential Equations

CBSE Class 12 · Mathematics · 31 past questions

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1. Q1 2026

   The integrating factor of differential equation $R\frac{dx}{dy} + Px = Q$ where P, Q, R are functions of y is

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2. Q4 2026

   The general solution of the differential equation $\frac{dy}{dx}=\frac{\sqrt{y}}{\sqrt{x}}$ is

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3. Q8 2025

   Which of the following is not a homogeneous function of $x$ and $y$ ?

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4. Q14 2024

   The order and degree of the differential equation…

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5. Q16 2024

   $x \log x \dfrac{dy}{dx} + y = 2 \log x$ is an example of a…

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6. Q17 2024

   A bacteria sample of certain number of bacteria is observed to grow exponentially in a given amount of time.… (with a figure)

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7. Q19 2024

   The degree of the differential equation $(y'')^2+(y')^3=x\sin(y')$ is…

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8. Q21 2023

   The solution of the differential equation $\frac{dx}{x} + \frac{dy}{y} = 0$ is…

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9. Q22 2023

   What is the product of the order and degree of the differential equation…

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10. Q24 2023

    The sum of the order and the degree of the differential equation…

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11. Q25 2023

    The general solution of the differential equation $x\,dy - (1 + x^2)\,dx = dx$ is…

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12. Q27 2023

    Degree of the differential equation $\sin x + \cos\left(\frac{dy}{dx}\right) = y^2$ is

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