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

Q: Question 2. Find the inverse Laplace transform: 5 1 s-6

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A: (.)  Given ,(2.1)   (2.2)   (2.3)   (.) Some Laplace transformations:

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Q: Question 2: Find the inverse Laplace transform of 10 a) F(s) == s(s+2)(5+3)² s² b) F(s) = 2 s² +4s+5…

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A: Given that,L=0.1 HR=45 ΩC=2·10-4 FV=12 Vi(0)=0q(0)=0

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Q: Plz solve only part a within 30-40 mins I'll give you multiple upvote

A: We use properties of Laplace transform to solve gi

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Q: Find the Laplace transform of f(t), where ƒ(t) is f(t)=4e³ sint cost and f(t)=r’sinh2t .

A: We know that  Leat sin(bt) = b(s-a)2+b2. Now  Lf(t)=L4 e3t sint cost= 2 L e3t 2sint cost= 2 L{e3t…

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Q: Find the inverse Laplace transform of 3s+2 F(s) = s2-3s+2 OA e+8e2t O B.-5e-t+8e2t OC.- Ste'+ 8e O…

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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.