Suppose solving an equation by Laplace transform results in 3s 60 Y (s): s2 + 20 s + 100 s2 + 20 s + 100 Evaluate y(0).

Q: Suppose solving an equation by Laplace transform results in Y(s) = s2 + 64' Evaluate y(7).

A: We have to solve given problem:

Q: ) Find the inverse Laplace transform, L-1{- 5 3 +e-2s s + 4. (s + 2

A: Find the inverse laplace transform using shifting theorem

Q: 5s-2 s2 (s+2)(s-1)

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Q: 8s + 12 S s2 + 4s + 29

A: To find the inverse Laplace transform L-1 8s+12s2+4s+29 consider,  8s+12s2+4s+29 = 8ss2+4s+29…

Q: Find the inverse Laplace Transform of: 11 5s 3 1 F(s) s2 + 3 s2 + 9' 5s – 7 s4

A: Use the formulas below to calculate the inverse Laplace transform.

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: Solve x"(t)+3x'(t)+2x(t) = u(t - 2), with x(0)-0 and x'(0)-0 using the method of Laplace transform.…

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Q: у" (() + у(t) 3 0 y(0) = 0 y'(0) = 1

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Q: Use Laplace transform to solve the following initial-value problem. У" - 2у +5у%3D1+t;y(0)3 0;y'…

A: Given The given problem is y"-2y'+5y=1+t y0=0y'0=4 Use Laplace transform formula…

Q: Solve the inverse Laplace transform: 2s-4 s2+8s+13

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Q: SOLVE FOR INVERSE LAPLACE TRANSFORM 6s – 4 - s2 4s + 20

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Q: Find the inverse Laplace transform of 1 G(s) = s2 – 4s + 5

A: Given,

Q: Find the inverse Laplace transform of (s² + 4) s(s² +16)

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Q: Example 5 : Using Laplace transform method, solve (D² +1)y = 6 cos 2t,t > 0 If y = 3, Dy = 1 when…

A: The given problem is to solve the given initial value problem with given initial conditions using…

Q: 3s+2 4. s² – 8s +25 5s2 +8s – 1 5. (s+3)(s²+1) |

A: Given Laplace Equation 4.) 3s+2(s2-8s+25) 5.) 5s2+8s-1(s+3)(s2+1) linearity property of inverse…

Q: Find the inverse Laplace transform of 10s-17 s2–18s+19

A: We will first break it into partial fraction

Q: The Laplace transform L{e^-t^2} exists (because it is exponential order), but without finding it…

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Q: Find the inverse Laplace transform: 1 (s(s² + 1).

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Q: 2. Use the Laplace Transform to solve the following system x'= x-5y, y'=-5x+y, x(0)=1, y(0)=1.

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Q: Find the inverse Laplace transform of: S – 1 2s2 + s + 6

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Q: Suppose solving an equation by Laplace transform results in 6 s Y(s) = s² + 64° Evaluate y(").

A: y(s)=ℒ(6ss2+64) =-3(2si(8s)-π)sin(8s)-6cos(8s)ci(8s) y(π)=-3(2si(8π)-π)-6cos(8π)si(8π)

Q: Find the inverse Laplace transform of: S-3 F(s) = (s-3)2+4 S-2

A: It is known that:

Q: 2-5s (s-6)(s2 +16)

A:

Q: if m1 =1 , m2 =1, c=2, k1 =3, k2 =2 and all initial conditions are zero, how can I solve this by…

A: Here, m1=1kg, m2=1 kg, c=2 Ns/m and k1=3 N/m, k2=2 N/m. The differential equations can be re-written…

Q: Find the Inverse Laplace transform of  (6s+3)/ (s^4)+(5s^2)+4

A: To find the inverse laplace of any rational function , write the partial fraction of the function .…

Q: Find the inverse Laplace transform 2s²-9s-35 (s+1)(s-2)(s+3)

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Q: 3.2 Use the Laplace transform to solve the following system. х" — Зх' + у' + 2x — у %3D 0 x' + y' –…

A: Given The given system is x"-3x'+y'+2x-y=0x'+y'-2x+y=0x0=0x'0=0y0=-1

Q: 4s³-s²+5s+2 S4

A: If A(s) = L{B(t)}, then the inverse transform of A(s) is defined as: L^(-1) [A(s)] = B(t). Laplace…

Q: Find the inverse Laplace transform of F(s)=2s+3/(s+1)(s2+9)

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Q: -s-1 1. F(s) s2+s-2 2s+5 2. F(s) (s-3)2

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Q: 7s-2 F(s) = (s+3)(s-4)(5s-1)

A:

Q: Solve the initial value problem using Laplace Transform of: y'' - 3y'+10y = e-2t when y(0)=0,…

A: Given initial value problem is y''-3y'+10y=e-2t,y0=0, y'0=1 To find the solution of the equation.

Q: H.W: Find inverse Laplace transform: 3s+7 1) F(s) = - s2-2s-3

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Solve the inverse Laplace transform: 3s s2+4s+13

A: We need to find L-1{3ss2+4s+13}

Q: Find the inverse Laplace transform of: S - 1 2s2 + s + 6

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Q: Use Laplace Transform to solve the initial value problem. Show your complete solution. 3t y" - 3y +…

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Q: Suppose solving an equation by Laplace transform results in 4 (s+ 18) Y (s) : %3D (s+9)² * Evaluate…

A: Laplace transform of the function y(t) is defined as Y(s)=∫0∞e-sty(t)dt, where s>0. Since the…

Q: Find the inverse Laplace transform of F(s)=2s+3/(s+1) (s2+9).

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Q: 3. Find the inverse Laplace transform of the ff. а. (s+1)(s+2)2 10 b. s(s+2)(s+3)2

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Q: Find the inverse Laplace transform following: 1. 2s+8 s²+4 4s+32 2. s²-16 3. 2S-1 s²-6s+18

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Q: Find the Laplace transform of te s+1 (s+1) (s-1)2

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Q: Using Laplace transform, solve the following initial value problem. y'' + 3y'+ 2y = 6e-t , y(0) =…

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Q: Find the inverse of Laplace Transform of: 3s +5 (s2 – 5s + 6)(s + 3) L-1(s) =

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Q: 6s + 15 s >0 s2 + 25

A: The given function is    9s+15s2+25        s>0     we have to find inverse Laplace Transform of…

Q: 2s + 1 s² + 9

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Q: Suppose solving an equation by Laplace transform results in 9 s Y(s) = s2 + 49' Evaluate y(0).

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Q: 3s-2 F (s) 2s2 –6s-2

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Q: 6s 3. s2+4s+13

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Q: Solve the shifted data initial value problem by the Laplace transform. Show the details. у" — 2y—…

A: Given differential equation,y''-2y'-3y=0,y4= -3,y'(4) = -17