GATE EE 2026 Set 1 — Question 14

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MCQ+1 / -0.33EasyHigher-Order Linear ODEsDifferential EquationsEngineering MathematicsLTI, Causal & Stable SystemsLTI SystemsSignals & Systems

Engineering Mathematics → Differential Equations → Higher-Order Linear ODEs

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Question

Consider the following differential equation:t2d2ydt2+7tdydt+8ty=10sin(t)t^2 \frac{d^2y}{dt^2} + 7t \frac{dy}{dt} + 8ty = 10 \sin(t)Which one of the following options is correct?
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