PYQ Vault

Day 162: CBSE Class 12 Maths

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

  1. Question 1

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

    28 (a)
    Find the particular solution of the differential equation dydx+sec⁡2x⋅y=tan⁡x⋅sec⁡2x\frac{dy}{dx} + \sec^2 x \cdot y = \tan x \cdot \sec^2 x, given that y(0) = 0.

  2. Question 2

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

    12
    The sum of the order and the degree of the differential equation 4[d2ydx2]2+3[1+(dydx)2−y]=04\left[\dfrac{d^2y}{dx^2}\right]^2 + 3\left[1 + \left(\dfrac{dy}{dx}\right)^2 - y\right] = 0 is :

    Tap an option to check your answer.

  3. Question 3

    Differential Equations. Asked once: 2024 (same type asked 5 times)

    2
    The solution of the differential equation dydx=1log⁡y\frac{dy}{dx} = \frac{1}{\log y} is :

    Tap an option to check your answer.

  4. Question 4

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

    30 (b)
    Find the particular solution of the differential equation (1+e2x)dy+(1+y2)ex dx=0(1 + e^{2x})dy + (1 + y^2)e^x\,dx = 0, given that y(1)=0y(1) = 0.

  5. Question 5

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

    27 (b)
    Evaluate : ∫14(∣x−2∣+∣x−4∣) dx\displaystyle\int_{1}^{4} \left(|x - 2| + |x - 4|\right)\ dx