Find the Laplace transform of the function ft t4 5t4 7 So

Find the Laplace transform of the function f(t) = t^4 - 5t^4 + 7.

Solution

f(t) = t4 - 5t4 + 7

L{f(t)} = L{t4 - 5t4 + 7}

L{f(t)} = L{t4} + L{- 5t4} + L{7}

= 4!/s5 - 5( 4!/s5 ) + 7/s2

= 24/s5 - 120!/s5 + 7/s2

= -96/s5 + 7/s2

= 7/s2 -96/s5

 Find the Laplace transform of the function f(t) = t^4 - 5t^4 + 7. Solutionf(t) = t4 - 5t4 + 7 L{f(t)} = L{t4 - 5t4 + 7} L{f(t)} = L{t4} + L{- 5t4} + L{7} = 4!/

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