6 F(s) (s? –48+20)? cos 4t 3 -2t sin 4t 3 -2t O f (t) te 64 16 t e2t cos 4t 3 2t sin 4t 3 O f (t) 64 16 O f (t) : 3 t e2t sin 4t 64 3 2t cos 4t e 16 3 e2t sin 4t 64 *t e2t cos 4t 3 O f (t) 16 3 te -2t e -2t O f (t) sin 4t Cos 4t 16 64 f (+) 3 -2t cog 4t 3 + -2t cin 4t ||

Q: 16 s²+N B) Find the Laplace inverse for the-

A:

Q: Find the Inverse Laplace of the following and show your complete solution 9 - 17 + 4 55 s+8 F(s) =…

A:

Q: If f(x) = (x − 2) 5(2x+1) 6, then what is f"(0) ?

A:

Q: 4s L' {- s2 –16

A:

Q: Find the Laplace inverse of the following: 4) 3 s (s²+8)(S-2)

A: Given,         3s(s2+8)(s-2).

Q: What is the laplace inverse of 5 - 3e-30 – 2e-70 že-7s

A:

Q: Find Laplace Inverse (S+2) (s²+ zs+?) t.

A:

Q: Find the Loplace inverse For the -10 S + 8$ +29 (2 8- 38+ 7)2

A:

Q: L 10s+8 83

A: Inverse Laplace transform

Q: find Laplace Transforms e -St 2 Cos 5t-3 Sin St

A:

Q: 6s L-1 (s² + 9)²

A: Apply the inverse transform rule that is if L-1Fs=ft  then L-1sFs=ddtft+f0  . The expression 6ss2+92…

Q: Use the Second Shift Theorem to determine the following i.

A: Second shift theorem is another form of Laplace transformation when there are two functions one…

Q: okay that makes more sense thank you, but you didn't decompose before taking the laplace inverse, is…

A: As per your question we have to explain whether we have to first decompose (partial fraction…

Q: Find Laplace Inverse for the following S+1 S+7 2) S2 +25+2 3) S2+4S+8

A:

Q: Exercise 6.1.10: Find the inverse Laplace transform of 251

A: We have to find the inverse Laplace transformation of the given function.

Q: Find Laplace Inverse Gs) (S+2) ( s²+ zSs+z)

A: The solution is given as

Q: Find the inverse Laplace of the following Note: Factor, Reduce to Simplify before getting the…

A: Given that, F(s)=s2+3ss4+5s3+7s2+5s+6 Factoring, we get,…

Q: 1. Find the Inverse Laplace Transforms of the following. 3s 2) -335-4 s²-4 2

A: Solution :  Given that  3ss2-4

Q: Pinverse aplace in of S 25²-1 1 (5² +49) ²

A: We have to find the inverse Laplace transform of the functions s2s2-1 and 1s2+492.

Q: 3s3+3s ენ

A: Here the aim is to find the inverse Laplace transform of                 L-1{3s3+3ss6}    using the…

Q: 5. L-1 s+1 s²+2

A:

Q: 390625000 1 inverse laplace s + 6250s + 390625000

A: We have 390625000s2+6250s+390625000·1s First, we use partial fraction decomposition. Let A,B,C be…

Q: 1 1. s2 + 2s + 10

A: The solution is given as

Q: Find the Laplace inverse Rom the Following © 1 ( (1) 2 2)

A: According to the given information it is required to find the Laplace inverse in each part given.…

Q: 2. Write the program to find Laplace inverse for this equation: 4 s+ 5 Y(s) =& - 4)°(s+5)l %3D

A: The linearity property of Laplace transformation is,  L-1a·fs+b·gs=a·L-1fs+b·L-1gs And,  L-11s-a=eat

Q: The Laplace inverse of L- is t8 8 8! 1 t8 2 8 O t8 7

A:

Q: -1 Find a) S-4 4(S-3) +16 1 -- b) 8 e StI

A:

Q: 45 +32 H(G)

A: Solution

Q: 1 The Laplace inverse of 38 - is 5 3 3. 3

A:

Q: - 10 S + 88 +29 2 (2 %-3S+ 구) 2

A: 1) Give Laplace function to find inverse is  L-1-10s2+8s+292s2-3s+72 It can be noted that L-1Fs is a…