9. Find the inverse Laplace transform of (any TWO): s +3 (i) S+1 (ii) Log S-1 (ii) s(s +9)

Q: L-¹ s+2 2s²+4s+ 7

A:

Q: What is the initial value of f(t) if its Laplace transform is

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Q: 2s3+ 4s2+1 F(s) (s2+ 2s+17)(s²+ 4s+20)

A:

Q: Let Rt) be the inverse Laplace transform of 7s2 + 15s – 6 F(s) = (s? + 6s + 10)(s – 2) What is 3/2)?

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Q: 1 -s F(s) = e = -+ s2 e-3s

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Q: Find the inverse Laplace transform of (s – 2)e-s s2 – 4s +3 | F(s) =

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Q: Determine the Laplace transform of e-5t sinh(6t) · е s+5 s2 – 10s–11 6. s2 – 10s-11 s+5 10

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Q: 216 X(s) s4+5s3+15s2+45s+54 2s-9 Y(s) s(s2+10s+146) ||

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Q: 14. Find the inverse Laplace transform of 2s+1 a) F(s) : s2+25

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

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Q: 1 Find the Inverse Laplace transform of F(s) : (s+1)(s²–1)

A: The given expression is Fs=1s+1s2-1 Write the partial fractions  Fs=1s+1s2-1=1s+1s+1s-1…

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

A:

Q: I. Find the inverse Laplace Transform of the following а. s3-5s

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Q: What is the initial value of f(t) if its Laplace transform is 5-2? 2s(s+2)

A: To Find: The initial value of f(t) if its Laplace transform is s-22ss+2

Q: to find the inverse Laplace transform of the given function. 18.F(s)=2n+1n!sn+1

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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: 1 (s(s² + 1).

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Q: 7s2 – 3s + 26 F(s) (8 – 1)(s² + 9)

A: Explanation of the solution is given below...

Q: 5. Find the inverse Laplace transform of the function as +b H(s) = (s – a)² + B²' -

A:

Q: 1 Find the inverse Laplace transform of F(s) (s+a)*(s+b) for t >0

A: Given function is, F(s)=1s+a2s+b

Q: 6. Solve for the Laplace transform of f(t) = t^2 using the long method

A: Given that: f(t)=t2

Q: Find the inverse Laplace transform of (s²+s+2)(s+4)*

A: We need to find the inverse Laplace transform of ss2+s+2s+4. So,…

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

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Q: 20 1.) f(s) = (s+2)5

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Q: 14. Find the inverse Laplace transform of 2s+1 a) F(s) s²+25

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

Q: Solve the Laplace transform of (1+e-t)2

A:

Q: Find the inverse laplace transform of : -S -2s 1– 2e + e F(S) = (6? + 4) (s)

A: To Find the inverse Laplace Transform of given Problem first we will use the linearity property then…

Q: Compute for the inverse Laplace transform of Y (s) = (s+2)³ * 3 e-2t+2 e-2tt e-2442

A:

Q: 1. Find the inverse Laplace transform of the function 2/ s (s + 1) with the help of convolution.

A: 2-2e^(-t)

Q: f (t) = e'-²H (t – 3)

A: Second Shifting theorem or Second Translation Theorem: If LFt=gs and a>0.  then LFt-aHt-a=e-asgs…

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: -2 20(x+2y?

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Q: Find the inverse Laplace transform of S (s2+s+2) (s+4)

A: Find

Q: Find the Inverse Laplace transform of s – 1 s +1 + s2 1 - F(s) = (s² + 2s + 4) (s² + 5s + 6)

A: Simplify the function and then apply Inverse Laplace transformations to it. Solve it further to get…

Q: 1. Find the inverse Laplace transform of (s – 2)e¬s s2 – 4s + 3* F(s) =

A: We have to use Laplace Transform Table here.

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

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

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Q: find the inverse laplace transform of; a)  (S^2+1)/S(S-1)(S+1)(S-2)

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Q: What is the inverse Laplace transform of Y (s) = (4s + 4)/ (s2 + 4s + 13)

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Q: Obtain the inverse Laplace transform: 4s+4 s² (s-2)

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Q: 3s+1 5.) f(s) = s² +6s+13

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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: 14. Find the inverse Laplace transform of a) F(s) 2+1 s+25 b) F(s) S(-3)

A:

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

A: Given that Fs=3s+7s2-2s-3 To find the Laplace inverse transformation of the above function.

Q: y"+ 4y' = cos(t - 3) + 4t, y(3) = 0, y'(3) = 7

A:

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

A: Find the inverse Laplace  as per our company guidelines we are supposed to answer ?️only first 3️⃣…

Q: Find the inverse Laplace transform of 5s+ 16 F(s) = (s+2)²(s+5)

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Find the inverse Laplace transform of F(s) = e^−3s / s^2 + 1

A: If then Where H(t) is the Heaviside unit step function.

Q: Find the Laplace Transform of ei +5 A S+4 S-4 S-4

A: Laplace transform of the function