The current I(t) in an LC series circuit is governed by the initial value problem below. Determine the current as a function of time t. 90 sin t, Osts2n I"(t) + 161(t) = g(t), 1(0) = 5, I'(0) = 22, where g(t) =. 0, 2n

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Q: Find the inverse Laplace transform of the given function by use of a table or properties. F(s

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Q: 5. Find the inverse Laplace transforms of the functions given. Accurately sketch the time functions.…

A: given that a) F(s)=3e-2ss(s+3) b)F(s)=e-2ss(s+1)   find the inverse laplace transform of the above…

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

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: e the inverse Laplace transform of

A: The given function is ss2+2s+2  to find the inverse Laplace Transform proceed as follows rewrite the…

Q: Find the transforms of the given functions: Please see attachment

A: By the properties of Laplace transformations:

Q: Find the inverse Laplace transform following: 0.2s+1.8 1. s43.24 4s+32 2. s-16 25-1 3. si-6s+18

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Q: 2. Y(s) = J(2s – 3)5 %3D

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Q: find the Laplace transform of VE cos(3Vf). E{VE cos(3V)} =0.

A: We are given that,  Lcos3tπt=e2.25ss..................................................(1) We are…

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A: The plant capacity hour is calculated using the formula below. Capacity hour=Total 1 year output…

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A: We will use formula for derivative of u/v and given formula to solve as follows

Q: Question 2.i.) Find the Fourier transform of the function f(t) = 4e-7|| %3D 2.ii. What are the…

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Q: -t sin 4t -t sin 4t

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Q: laplace transform

A: Given function is yt=3e-tcost-2cos2t-sin2t We need to find the Laplace Transform of the function.

Q: Laplace transform of the following functions: 2. t5/2 sinh 4t

A: We find the Laplace transform of the given function in Problem 2

Q: 3. Find CH(t) when H(t) = (et-3)(e?-) %3D

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Q: The following is an IVP: Let's introduce Y(a) = C(v(t)) +4y= cos(2), v(0)=3, (0)-8. Part 1 Apply the…

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Q: For the Laplace transform, F (s) = +, find the time function (i.e. the inverse Laplace transform)…

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Q: Question #7. Use the Laplace transform to solve x"+x=2t, x(0) = 0, x'(0) = 5.

A: (.)   Given differential equation is ,          x''+x=2t   ;  x(0)=0  , x'(0)=5 (.) Some properties…

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A: Given

Q: Find the inverse Laplace transform following: 0.2s+18 1. s+3.24 4s+32 2. s2-16

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.