2. Determine the Laplace transform of the following functions. Here you may use common identities and known transforms of basic functions, but clearly show each step and briefly state which identities/properties you use in each step (i.e. Shift Theorems, Derivative Theorem etc.). f(t) = te-2t cos(4t) f(t) = t² sin2(t) + t cos² (t)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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2. Determine the Laplace transform of the following functions. Here you may use common identities
and known transforms of basic functions, but clearly show each step and briefly state which
identities/properties you use in each step (i.e. Shift Theorems, Derivative Theorem etc.).
f(t) = te-2t cos(4t)
f(t) = t² sin2(t) + t cos² (t)
Transcribed Image Text:2. Determine the Laplace transform of the following functions. Here you may use common identities and known transforms of basic functions, but clearly show each step and briefly state which identities/properties you use in each step (i.e. Shift Theorems, Derivative Theorem etc.). f(t) = te-2t cos(4t) f(t) = t² sin2(t) + t cos² (t)
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