PYQ Vault

Day 62: 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)

    27 (a)
    Find the general solution of the differential equation (x2+y2) dy=xy dx(x^2 + y^2)\, dy = xy\, dx.

  2. Question 2

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

    34
    Solve the differential equation dydx=cos⁡x−2y\dfrac{dy}{dx} = \cos x - 2y.

  3. Question 3

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

    13
    The order and degree of differential equation d2ydx2=1−(d3ydx3)2\dfrac{d^2y}{dx^2} = 1 - \left(\dfrac{d^3y}{dx^3}\right)^2 is :

    Tap an option to check your answer.

  4. Question 4

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

    15
    The general solution of the differential equation : x2dy+y2dx=0x^2 dy + y^2 dx = 0 is

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  5. Question 5

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

    30 (b)
    Solve the differential equation sin⁡xcos⁡y dx+cos⁡xsin⁡y dy=0\sin x \cos y\, dx + \cos x \sin y\, dy = 0, given that y=π4y = \dfrac{\pi}{4} when x=0x = 0.