10. Find the inverse Laplace transform of the function 1 1 F(s) %3D (s – 1)(s – 2) (8 – 7)(s – 8)(s – 9) 1 1 (s – 5)(s – 6)² ▼ (s – 5)²(s – 6)² - 3s (s² + 1)(s² + 4) +

Q: 1) Find the inverse Laplace transform of the following: a) L-1 s+1 ans:A = , B=- e* -e s2-7s+6. 5' 5…

A:

Q: 2s +3 Find the Inverse Laplace Transform of F (s) s²+4s+ 13 A f (t) = 2sin3t – -cos3t 3 B f (t) = e'…

A: Use Laplace table.

Q: 3.15 - Find the inverser Laplace transform of the following functions: 5e-2s d. G(s) = (s+1)(s²+s+1)

A:

Q: B.Find the Inverse Laplace Transform of the following: 5 1.0 F(s) = 1 ş11 2.0 F(s) = 7s+15 %3D s2+2…

A: Inverse Laplace transferom

Q: 1 The Laplace transform of the solution of the following Cauchy problem ´y" (t) − y'(t) + 3y(t) =…

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Q: 0. O hlt)= if t< 4 Find laplace transform for + cos(st) if +Z¢ 'a) e-4s e 40 s cos(20) + 5 sen(20)…

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Q: 3s +5 Let X(s) = be the Laplace Transform of a signal x(t). Then, x(0+) is %3D s + 10s + 21

A:

Q: 1.25 In comparing the Laplace transform (t-4)* -H(t-4) to the rule L[f(t-a)H(t-a)]you will find that…

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Q: (a) Find the inverse Laplace Transform of 1 (s-3)(S-2)² (b) Use the Laplace Transform to solve the…

A:

Q: 2s – 5 Find the inverse Laplace transform of F(s) s2 – 36 7 17 O f1)= -e 12 = 12 7 17 61 f(1): -61…

A:

Q: 3.15 - Find the inverser Laplace transform of the following functions: 5e-2s d. G(s) = (s+1)(s²+s+1)…

A: Solution is given below:

Q: II. Find the inverse Laplace transform of the following functions: 5+5s 1. s2+5s+19 3. (s²+4)(s²+9)…

A: (1). 5s+5s2+252

Q: 2s+3 5) Find the inverse Laplace transform of F(s) (s+1)(s²+9)

A:

Q: -7s 4s +7 Q5.A.i. Find the inverse Laplace transform of F(s)= (s – 4)° – 21 (s+1X2s + 3)(3s +5)

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 8s + 5 Find the inverse Laplace transform f(1) = L- {F(s)} of the function F(s)%3= s2 + 16

A:

Q: 2 Determine the Laplace transform of f(t)-te"sin(3t) s-4 a. (s²-3s+5)² 6s-12 b. (s²-2s-6)² s-4 C.…

A: Given function is f(t) = te2tsin(3t)

Q: Find the Laplace transform for -4 f(t) = e'sin2t + e¯'cost 2 s + 1 2 s + 1 + s + 2s + 5 s - 2s + 2 2…

A:

Q: 2s+3 Find the Inverse Laplace transform of F(s) %3D s²+4s+13

A: Formula Used: L{eat cos(bt)}=s-a(s-a)2+b2L{eat sin(bt)}=b(s-a)2+b2

Q: 7s – 3 s2 – 4 - Find the inverse Laplace transform of F(s) 17 f(t) : 11 + 4 -21 11 +- 4 17 17 f(t) =…

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Q: 2s2 +13s+6 Find the inverse Laplace transform of H(s) = (s+2)2(s-1) assuming that a) h(t) is causal…

A: We will find out the required inverse Laplace transform of H(s)

Q: 7) What is the inverse Laplace transform 1 X(s) =- (I +s);s a) 1-t+e-t t20 b) 1+t-et t20 c) -1+t+e-t…

A:

Q: )1–2و( 24s (s²+1)* If the Laplace Transform of F (t) t³ sin(t) is f (s) = what is the Laplace…

A:

Q: 1) Find the inverse Laplace transform of the following: s+1 а) L-1 [s²-7s+6) ans: A = B=- 7 | 5' 5…

A:

Q: 2. Determine H(s) = the Inverse Laplace Transform of 13s² + 46s + 133 (s + 1)² (s² + 6s +25)

A:

Q: 5s – 11 Find the inverse Laplace transform f(t) = L- {F(s)} of the function F(s) %3D s2 - 4s + 13

A: Use laplace transforms form

Q: 10s – 3 - Find the inverse Laplace transform of F(s) s2 – 4 - 17 O f) 23 -2t -e 4 23 4 17 + 4 -2t…

A: I have stated the used formulas in the solution

Q: 2s+1 Determine the Inverse Laplace Transform of: L{; (s²+4s+4)(s2-4)*

A: Let us assume L{f(t)}=F(s) Laplace transform of some unknown function f(t) is given…

Q: (-28 — 4)е s2 + 6s + 25 1. Calculate the inverse Laplace transform L-! 4e-2s (s +1)³.

A:

Q: 1. Determine the inverse Laplace transform of the following: s+1 2s+16 (a) s2+2s+10 (b) s2+4s+13

A:

Q: Which of the following is the Laplace transform of the solution to the initial value problem x" + a'…

A:

Q: In the given Initial Value Problem, y" – 27y = f (t); y (0) = y (0) = y" (0) = 0 %3D %3D %3D with f…

A:

Q: 4. The inverse Laplace transform L-1{s/(s²+8s +20)}

A:

Q: 2s + 3 Find the Inverse Laplace Transform of (s+4) 3

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Q: d the Laplace Transform of the periodic function f(x) 5 for 0<r < 7 T0 for 7<r< 14 s(1–e-14*) 5(e-78…

A:

Q: V, 6. If the Laplace transform of x3/2 is 455/2 then the Laplace transform of t3/2e-t is: A) F(s) =…

A: Use property of laplace to solve

Q: 1- 3s Find the Inverse Laplace Transform of G (s) = s2+ 8s + 21 -4i sinh (/51) 13 8 (t) = – 3e…

A:

Q: 2s +3 Find the Inverse Laplace Transform of (s+4)3

A:

Q: 3.2 Find the Inverse Laplace transform f(t) if given the Laplace Transform function 1 F(s) = using…

A: Given is the Laplace Transform function F(s)=1s(s+1). The objective is to find the inverse laplace…

Q: Which of the following expressions' inverse Laplace transform is the solution to the initial value…

A:

Q: 3.15 - Find the inverser Laplace transform of the following functions: 2s4+9s³+15s²+s +2 h. G(s) =…

A:

Q: 2. Determine H(s) the Inverse Laplace Transform of 13s² + 46s + 133 (s + 1)² (s² + 6s + 25)

A: Inverse Laplace transferom of the rational function.

Q: -25 The inverse Laplace transform of F(s) = A. 0.2(1-e St-5))u(t - 5) B. 0.5(1-e 5(-2))u(t- 2) C.…

A: Given  Fs=e-2sss+5

Q: 1. Determine the inverse Laplace transform of the function below. 10 G(s) = (s + 1)(s2 + 4s + 13) 2.…

A:

Q: 3. Find the inverse Laplace transform y(t)=L¹[Y(s)] where 1/6 1/3 Y(s)=e-5s + S s+1 S/2 + 5/3 s² +…

A:

Q: 2. Moderate Find the inverse Laplace transform of s² +8s +27 (s + 1)(s2 + 4s +13)

A: To find the inverse Laplace transform of s2+8s+27s+1s2+4s+13.

Q: In this laplace transform problem, y'''-27y=f(t);   y(0)=y'(0)=y''(0)=0 with the value f(t)={ 30…

A:

Q: (2) Find Inverse Laplace transform for; 3 1 (1)F(s) = 3 (2)F(s)= s2 +4 (3)F(s)= s (s +1) s (s² +16)…

A: Given:                 Question 4: F(s)=2s2(s+4)                 Question 5: F(s)=1s(s-1s+1)…

Q: 2. Find the inverse Laplace Transform of the following left-sided signals a. X(s)=+2s +3 6s² +…

A: To find the inverse Laplace transform of…

Q: 1. Find the Laplace transform of f(t) (t-3)u, (t)-(-2)u,(t). (s-3)e 2 s2 +6s +13 2. Find inverse…

A: