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Questions › UGC-NET › UGC-NET 2025 › Q62
2 marksMathematics › Difference and differential equations › Difference equationsModerateabout 1 min

UGC-NET 2025 Question 62: Difference and differential equations

Given the difference equation Yt+1−1.2Yt=0Y_{t+1} - 1.2Y_t = 0Yt+1​−1.2Yt​=0, the general expression for YtY_tYt​ in terms of t can be:

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Given the difference equation Yₜ₊₁ - 1.2Yₜ = 0, the general expression for Yₜ in terms of t can be: (A) Yₜ = (1.2)^t Y₁ (B) Yₜ = (1.2)^(t+1) Y₀ (C) Yₜ = (1.2)^(t-1) Y₁ (D) Yₜ = (1.2)^(t-1) Y₀ + C

Also written as: Given the difference equation Y_(t+1) - 1.2Y_t = 0, the general expression for Y_t in terms of t can be:

Difference and differential equations has come up 20 times in 5 exams since 2014.

What this question tests

This question is on Difference equations, part of Difference and differential equations in Mathematics.

Solving equations that link a variable to its past values.

TestStop has 5 past-paper questions on this subtopic; the nearest in year are below.

  • 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…
  • IIT JAM 2021 · Q45Consider xₙ = ((n+1)/n)xₙ₋₁ for n = 1, 2, 3, … with x₀ = 2. Then x₁₀₀ - x₅₀ equals _ (in integer).
Take this paper as a timed mockMore on Difference equations

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Question from the UGC-NET 2025 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.