Monomath – CBSE | GSEB | IB | JEE Maths by Ajay Yadav (Math King of Katargam) – 15+ Years Experience. Study Notes, Video Lessons, Formula Sheets & PYQs.
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Differential Equations

Previous Year Questions (2022-2024)

📅 Year 2022

  1. Solve: dydx = x + y.
    Show Solution
    Linear: dydx - y = x\nIF = e^{-x}\nye^{-x} = ∫xe^{-x}dx = -xe^{-x} - e^{-x} + C\ny = -x - 1 + Cex
  2. Find order and degree of (y'')3 + x(y')2 + y = 0.
    Show Solution
    Highest derivative: y'' (order 2)\nPower of highest derivative: 3 (degree 3)\nOrder = 2, Degree = 3

📅 Year 2023

  1. Solve: dydx = x + y.
    Show Solution
    Linear: dydx - y = x\nIF = e^{-x}\nye^{-x} = ∫xe^{-x}dx = -xe^{-x} - e^{-x} + C\ny = -x - 1 + Cex
  2. Find order and degree of (y'')3 + x(y')2 + y = 0.
    Show Solution
    Highest derivative: y'' (order 2)\nPower of highest derivative: 3 (degree 3)\nOrder = 2, Degree = 3

📅 Year 2024

  1. Solve: dydx = x + y.
    Show Solution
    Linear: dydx - y = x\nIF = e^{-x}\nye^{-x} = ∫xe^{-x}dx = -xe^{-x} - e^{-x} + C\ny = -x - 1 + Cex
  2. Find order and degree of (y'')3 + x(y')2 + y = 0.
    Show Solution
    Highest derivative: y'' (order 2)\nPower of highest derivative: 3 (degree 3)\nOrder = 2, Degree = 3