Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) r 2.1s +0.6)} (s 0.1) (s + 0.6)

Q: Find the inverse Laplace transform L-{F(s)} of the given function. 20 F(s) s2 + 16 Your answer…

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Q: a. Find the inverse transform of F(s). b. Sketch the graph of f(t). c. What is f(1.5) d. What is…

A: We have given F(s) = 2s-3e-ss2+4e-2ss2. If L{f(t)} = F(s) then L-1{e-asF(s)} = u(t - a)f(t - a),…

Q: Find and simplify the Laplace transform of the following functions, indicate the formula number from…

A: Formulas:Given the function .Consider .Differentiating, we getThis is essentially our function u(t).…

Q: THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{{t)} and n = 1, 2, 3, then .... L{t'{t} = (-1)"…

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Q: 7. Find the inverse Laplace transform for the F(s): (S-2)e-2s 4s + 3 5² Hint: You may need unit step…

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Q: Using the table in your lecture notes, find the Laplace Transform of each of the following function:…

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Q: s2 + 6s + 8 G(s) = s4 + 8s2 + 16° xnlanation calculation IS we

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Q: Q9. Use Laplace transform to solve the ODE. X-4x +3x =-8cos4t, x(0) =0, x(0) = 0 %3D

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . .,…

A: If f(t) is a function of t defined for all positive value of t, then the Laplace transform of the…