PYQ Vault

Day 133: CBSE Class 12 Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Differential Equations. Asked once: 2026 (same type asked 5 times)

    29 (a)
    Find the general solution of the following differential equation : x2dydx=x2+xy+y2x^2 \frac{dy}{dx} = x^2 + xy + y^2

  2. Question 2

    Differential Equations. Asked once: 2023 (same type asked 5 times)

    26 (b)
    Find the particular solution of the differential equation dydx+cot⁡x⋅y=cos⁡2x\frac{dy}{dx} + \cot x \cdot y = \cos^2 x, given that when x=π2x = \frac{\pi}{2}, y = 0.

  3. Question 3

    Differential Equations. Asked once: 2026 (same type asked 5 times)

    12
    The order and degree of the differential equation ddx(ey)=0\frac{d}{dx}(e^y) = 0 respectively are

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  4. Question 4

    Differential Equations. Asked once: 2025 (same type asked 5 times)

    16
    The solution of the differential equation dydx=−xy\frac{dy}{dx} = \frac{-x}{y} represents family of :

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  5. Question 5

    Differential Equations. Asked once: 2026 (same type asked 5 times)

    29 (b)
    Find a particular solution of the differential equation (x+1)dydx=2 e−y−1(x + 1) \dfrac{dy}{dx} = 2\,e^{-y} - 1, given that y=0y = 0 when x=0x = 0.