GATE ME 2024 Set 1 — Question 43

NAT+2 / -0MediumFirst-Order EquationsDifferential EquationsEngineering Mathematics

Engineering Mathematics → Differential Equations → First-Order Equations

Last updated 5 September 2026

Question

x(t)

t \frac{dx}{dt} + t - x = 0 \implies t \frac{dx}{dt} - x = -t \implies \frac{dx}{dt} - \frac{1}{t}x = -1

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t \frac{dx}{dt} + t - x = 0 \implies t \frac{dx}{dt} - x = -t \implies \frac{dx}{dt} - \frac{1}{t}x = -1

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