10 + 5t + t4 – 4t3

Q: Find the inverse laplace transform of the problem L-[- u+1 (u+1)²+1! L[f(u}] = F(t)

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Q: the Laplace transform to so (0) = 0

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Q: Find the Inverse Laplace Transform of 1 s²-8s+25

A: The given function is 1s2-8s+25 completing squares 1s2-8s+25=1s2-8s+16+9=1s2-24s+42+9=1s-42+9

Q: Find the inverse Laplace transform of: 2 s² + 4

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Q: Show your complete solution in finding the Laplace transform of the following: 3.1. 3.2 3.3

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Q: Problem 2 4s +3 (s – 1)°(s²+ 4) |

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Q: Consider the IVP y''-y'=-30e3tcos(t), with y(0)=1, y'(0)=-12. Take the Laplace transform of both…

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Q: Use the Laplace transform to solve y" + 4y' + 3y = 1, y(0) = 1, y'(0) = -1. No credit will be given…

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Q: find the inverse Laplace transform of the given function. 1.F(s)=3s2+4

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Q: 10s3+1 1. F(s) %3D s2+6s+5

A: The inverse Laplace transformation transforms a function in s of a complex variable to a real-valued…

Q: Find the inverse Laplace transform of 15 F(x) s2 + 4s + 13

A: The given problem is to find the inverse Laplace transform of given function, Given function F(s) =…

Q: Find the inverse Laplace Transform of the following problem. F(s)= 1-3s / s^2 + 8s + 21

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Q: Find the Laplace Transform of et + 5 A s-4 5 B S-4 S s+4 D s+4

A: Linear transformation is used to solve the differential equation. For example the first order…

Q: find the inverse Laplace transform of the given function. 6.F(s)=8s2−4s+12s(s2+4)

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Q: What is the value of the inverse Laplace transform given by L* 2s +3 -1 s2 +2s +3 J

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Q: Discuss comprehensively the process of determining the Inverse Laplace transform of: s4 – 7s3 + 13s2…

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Q: Find the inverse Laplace transform of 2e-8s F(s) = s² + 9

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Q: 3. 6 сos(4t — 1)

A: The solution is given as

Q: Find the Laplace transform of (t2 + 1)2.

A: we use the formula £(t^n)=n!/Sn+1. See 2nd step.

Q: Find the Laplace transforms of the functions given in Problem. f(t) = 1 if 1 4

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Q: 5) – (s + 1)2

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Q: Find the inverse Laplace Transform for 3s2 – 28 Y (s) (s – 4) (s2 + 4)

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Q: O xt) tLosh at - sinh 34 + ws (ot - )

A: Properties of the Laplace transform  Laf(t)+bg(t)=aL[f(t)]+bL[g(t)] Ltf(t)=-F(s), where…

Q: 3. e-9t cos(3t) + 5e-2t sin(3t)

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Q: If the Laplace transform of x3/2 is then the Laplace transform of t3/2e 4s5/21

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Q: Find the inverse Laplace transform of 3s + 2 F(s) 4s2 + 12s +9

A: We have to find the inverse Laplace transformation of…

Q: orm y(t) = 4e-2cos

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Q: What will be the constant in the Inverse Laplace Transform of ? s(s3-8) 3 O 1/8 O 3/8 O 1/4 O -3/8

A: We have to find the constant part in the inverse Laplace transform.

Q: Compute the Laplace transform of the given function. 1. e6t + 5+ e4t + 5t

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Q: 35) dy - 4=1, Jco)=o

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2s + 42 2s° +7s – 15

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Q: A function has a Laplace transform of F(s) = If this function is %3D s2-36 multiplied by t², what…

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Q: Find the inverse Laplace transform for (a) F(s) = (s2 – 2s + 5)

A: # We are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 5. If the Laplace transform of f(t) find F(4s)

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Q: ) Solve the following initial value problem by using Laplace transform. y" + 4y = 4t + 12, y(0) = 4,…

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Q: Find the inverse Laplace transform of 7s + 3 s > 0 s2 + 17

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Q: Find the inverse Laplace transform of 5s + 1 F(s) = s2 – 7s + 12

A: F(s)=5s+1s2-7s+12       =5s+1s2-3s-4s+12       =5s+1s(s-3)-4(s-3)       =21(s-3)-16(s-4)(s-3)(s-4)…

Q: 2. Find the Laplace Transform of f(t) = 3 – 2t2 + 5e-2t – 4sinh3t а.

A: We have to find the Laplace transform of the given equation  f(t)=3-2t2+5e-2t-4sinh3t

Q: Find the Laplace Transform of the following. 1. F(t) = 3t + 12

A: Laplace transferom

Q: 3. Find the inverse Laplace transform of F (s) s2-2s+2

A: Given function is F(s)=3s2-2s+2

Q: 3) y" - 9y = t , y(0) = 1 , y'(0) = 2

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Q: 2. cos(2t) + 7 sin(3t)

A: we have used laplace property and table for this question.

Q: 10. Find the Laplace transform of t³ + 2t - 4. a. b. C. d. 3 ||0|0| + + + + ~~~~~~~~ - - - - 5…

A: Given  f(t) = t3 + 2t - 4

Q: Find the inverse Laplace transform of the given function. 2 2. F(s) s2-8s+25

A: According to question, Fs = 2s2 - 8s +25

Q: Use the Laplace transform to solve the given problem: 3-5y = 0 dx

A: From table of Laplace table,

Q: with the help of convolution find the invese Laplace transform of the function  : 2/s(s+1)

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Q: 2. Solve for the Laplace transform of f(t) = 5 using the long method

A: A detailed solution is given below

Q: Find the inverse Laplace Transform 2s3 – 9s² + 23s – 10 F (s) = (s² – 4s + 8)²

A: We know that  ℒ-1Fs  is such a function f(t) that  ℒft=Fs. We are given that…

Q: Take the Laplace Transform of both sides of the IVP y'' + y = 2δ(t-1) w/ y(0) = 1, y'(0) = 1 and…

A: Step:-1 Note:- Some Laplace Transform 1. Lδt-a = e-as   for a>0 2. Lyt=ys  and  L-1ys=yt 3.…

Q: {f*U(t – 1)}.

A: Please find attachment for the details solution