Suppose solving an equation by Laplace transform results in 4 (s+ 18) Y (s) : %3D (s+9)² * 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: Use Laplace transform technique to solve y +2y +2y=e¯, y(0) = - 3, y'(0) = 2

A: Given: y''+2y'+2y=e-t and y(0)=-3 ,y'(0)=2 Apply Laplace transform on both sides…

Q: SOLVE FOR INVERSE LAPLACE TRANSFORM 3s + 2 4s2 + 12s + 9

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

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

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Q: 3. Use the Laplace transform method to solve the initial value problem r = 6x1 + 11r2, r = -4x1 –…

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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: 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: Solve the Laplace transform of; L-1 3s + 10 s² + 4s + 20/

A: Using the table of Laplace transformation, it can be written that:…

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: 3s +5 is 53- s2 The inverse Laplace transform of the function

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Q: Use Laplace transform technique to solve y+2y +2y=e"! y(0) = -3, y (0)= -3

A: Solution: The objective is to find the solution of the given differential equation using Laplace…

Q: Use Laplace transform technique to solve y +2y +2y= e-, y(0) = - 4, y'(0) = - 2

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Q: 25 s3(s2 +4s+5)

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Q: Use Laplace transform technique to solve , y"-y'-6y= 0, Given y(0) = 1 and y'(0) = -1

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Q: 2. y" - y'- 2y = 0 ; y(0) = -2, %3D y'(0) = 5.

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Q: Find the inverse Laplace transform of [(18s)/((s2+9)2)]e-2s

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

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Q: 1- Find the inverse of Laplace transform of log s²+1 (s-1)²,

A: To find inverse Laplace transform:

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: 25 – 6) 4) (8) Find the inverse Laplace transform, L-1{+. s2 + 4,

A: ℒ-12s-3+2s-6s2+4we can write…

Q: Solve the following initial value problems by Laplace transform technique

A: We have given a differential equation ,  y'' + 2y' + 5y = 50t - 100   ,  y2 = -4  , y'2 = 14 This is…

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: 35-1 F(s) -

A: The given function isF(s)=3s-1s2+25

Q: Use Laplace transform technique to solve, y"+2y'+2y = e given y(0) = -2 and y'(0) = -1

A: According to our guides, we are allowed to answer the first question only. Kindly re post the second…

Q: Evaluate equation y’ – 3y' – 4y = e³x using the Laplace transform, with initial conditions y(0) = -5…

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Q: Given that x(0)=0, apply the laplace transform to find a general solution of tx''-(4t+1)x'+(4t+2)x=0

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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: 1 Determine the inverse Laplace transform of (s–2)(s-3)

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

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Q: 2s2 – 3s + 5 - Find the inverse Laplace transform for s2 (s2 + 1)

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Q: 3. Find the Inverse Laplace transform of : 5s-2 a) s2 (s+2)(s-1)

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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: Find the Laplace transform of e-4t.

A: We can find the Laplace transform of given function.

Q: Find the inverse Laplace transform of 7s (3s²+75)²

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Q: Use Laplace transform to solve the initial value problem x" - 9x = e;x(0) = 1, x'(0) = –1

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Q: )find the inverse Laplace transform 1 L-1 (p2 +1)2,

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Q: Find the inverse transform of L-1[ if L-1[f(s)] = F(t) s 2 3/2 4t3/2 4t/2 dt1/2 O O O

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Q: Solve the Laplace transform of e-2t cos/3t – t²e-2t

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Q: Use the method of partial fractions to find the inverse Laplace transform of (s – 1)²(1+ s²)

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

A: See the detailed solution below.

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

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Q: Use Laplace transform technique to solve y+2y +2y=et, y(0) = - 3, y'(0) = - 3

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