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Questions › Mathematics › Difference and differential equations

Difference and differential equations: previous year questions

Asked 4 times in 1 exam across 2 years. Newest first.

Practise Difference and differential equations, easy to hard →

  1. IIT JAM 2022 Q16Let a second order difference equation be yₙ₊₂ + 4yₙ = 4yₙ₊₁, n = 2, 3, 4, …, with y₀ = 1, y₁ = 4. Then the general solution is
  2. IIT JAM 2021 Q8The differential equation (3x² y + y³) dx + (x³ + 3xy²) dy = 0 is
  3. IIT JAM 2021 Q45Consider xₙ = ((n+1)/n)xₙ₋₁ for n = 1, 2, 3, … with x₀ = 2. Then x₁₀₀ - x₅₀ equals _ (in integer).
  4. IIT JAM 2021 Q54Let y(x) > 0 solve dy/dx + y = y². If y(ln 2) = 1/3, then y(ln 3) equals _ (round off to 2 decimal places).