Solve the following using second shifting theorem (t- shifting) 1.Solve the Laplace transform of the following IVP i.y" + 2y' + 2y = 0, y(0) = 0, y'(0) = 1 ii.y" + 4y' + 13y = 145cos2t, y(0) = 10, y'(0) = 14 у'(0) — 1 %3D %3D %3D %3D

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Q: Solve the following using second shifting theorem (t- shifting) 1.Solve the Laplace transform of the…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: y" + 2y + 5y = t cos(5t)-6,y(0) = 1, y'(0) = -2

A: Here we use the table of Laplace transform and the partial fraction method to find solution.

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Q: Use Laplace transform to solve: du ди -x = 0; u(x,0) = e*, u(0,t) = 0. at %3D %3D ax

A: Solution

Q: 2. Finish solving each IVP by finding y(t), the inverse transform of Y(s). Do not use convolution…

A: Please see the attached images for the solution.If there are queries, please do not hesitate to ask.…

Q: 2C

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Q: 1. FIND THE LAPLACE TRANSFORM OF THE FOLLOWING EXPRESSIONS: 1.1.1 +et+t+ sint + cost - sinht + cosht…

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Q: Evaluate the inverse Laplace transforms of the following: 4. +. s-5 1. 6+s 2. s+35s-3 6s -5 4s +7]…

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Q: Consider the following IVP: y" + 3y' + 2y = 12x²; y(0) = a, y'(0) = b

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Q: (a) 28(3t) + 6u(2t) + 4e-24 – 10e-34 (b) te-'u(t – 1) (c) cos 2(t – 1)u(t – 1) - - (d) sin 41[u(t) –…

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Q: 1. Find the Laplace transforms of the following by the method indicated showing details of your…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: Find the inverse Laplace transform of y= s2+ 25 O a. 2cos (5t) O b. 1 -sin (5t) O c. none of the…

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Q: If f(x)=14-x^(2) and g(x)=\sqrt(x+31), compute g(f(3)). Simplify your answer as much as possible.

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Q: 1. f(t) = cos42t 2. f(t) = cos²5tcosh²5t

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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Q: Find the Laplace transform of the following: 2y+3y"-23y - 12y = 5t-7, y(0) = 0, y'(0) = 0, y" (0) =…

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Q: f(t) = sinh? 4t cosh 4t 32s А. (s2-144)(s2-16) C. 4(s2 -144)(s2 -16) s3-4s? +560 В. (s2-144)(s2-16)…

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Q: Solve the following using second shifting theorem (t- shifting) 1.Solve the Laplace transform of the…

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Q: d³y d²y 3 dx3 3 – y = x²e*; y(0) = 1, y'(0) = 2, y"(0) = 3 dy dx2 dx

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Q: 1. The Laplace transform of the function y(t) = t5 is a. 20/s5 b. 1/(s-5)6 c. 120/s6 2. The Laplace…

A: Note: Hi! Thank you for the question, As per the honour code, we are allowed to answer three…

Q: Solve by the Laplace transform, showing the details and graphing the solution: 1. y" – y' – 2y = 12u…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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Q: 7. F(t) = cos?- sin? 2 8. F(t) = cos ( bt 9. F(t) = 8 sin- cos %3D

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Q: Find the Fourier transform of the rectangular pulse: f(t) = 1 -T≤t≤T 2 0 ->t>T

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Q: Find the laplace transform of 1.f(t)=u(t)-u(t-1) 2.f(t)=cos5t.u(-t) 3.f(t)=sint.u(t).et

A: Since multiple questions are posted only the first question will be answered. Kindly resubmit the…