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GATE ME 2026 Set 1 — Question 38

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MCQ+2 / -0.67MediumLaplace Transforms & ApplicationsDifferential EquationsEngineering Mathematics

Engineering Mathematics → Differential Equations → Laplace Transforms & Applications

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Question

Let f(t)f(t) be a function of tt defined for all positive values of tt. The Laplace transform of f(t)f(t) denoted by L{f(t)}=∫0∞e−stf(t)dtL\{f(t)\} = \int_{0}^{\infty} e^{-st}f(t)dt, provided that the integral exists where ss is a parameter which may be a real or complex number.
The Laplace transform of f(t)=sin⁡2tsin⁡4tf(t) = \sin 2t \sin 4t is
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