6. Find the inverse Laplace transform of the function (8² – a²)(as + b) (s² + a²)(s² + B²)' I(s)

Q: 5. Find the inverse Laplace transform of the function as + b H(s) = .а — 9, b — 10, а — 4, В — 3. (s…

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Q: 5, show your solution for the Laplace Transform of the function of G (t), G(t) = t, G(t) = 10 0 4

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

A:

Q: 4. Find the inverse Laplace transform of the function G(s) : as + b s² + B² ' %3D

A: Find the Laplace inverse transform of the function: Gs=as+bs2+β2.

Q: 3. What is the Laplace transform of 2sin t + 2cos t ?

A: Given x(t)=2sin2t+2cos2t Now we will find the Laplace transform as shown below

Q: 1. Calculate the Laplace transform of the function 2. 1-t when 0 <t < 1 when 2 <t<3 everywhere else…

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Q: Q1. Find the inverse Laplace transform of, 2s+12 F(s) s2+2s+5

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Q: determine the inverse Laplace transform of F.

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Q: Find the Inverse Laplace Transform of F(s) = s+2 / s2+2s+5

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Q: 10s3+1 1. F(s) %3D s2+6s+5

A: The inverse Laplace transformation transforms a function in s of a complex variable to a real-valued…

Q: determine the inverse Laplace transform of F.

A: Given:

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: Find the inverse Laplace Transform of F(s) 2s2 + s -3 F(s) = s4 +3s2 + 2

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Q: Find the Laplace Transform of h(t) =t² sin(2t) 4s2 –3 A H (s) (s²– 4) 3 3s2 – 4 (B) H (s) = (s²+4) 2…

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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…

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Q: 2s2+7 F(s) = (s+1)(s+2)(s²+ 2s+5)

A:

Q: Determine the Laplace transform of f(t) = e-3t sinh (2t) 2 s2 + 6s +5 s2 – 6s+5 s² + 6s+5 s2 – 6s +…

A: Use the following formulas to perform the Laplace transformation.  Leatft=Fs-aLsinhat=as2-a2

Q: Find inverse Laplace transform of the function 7s – 1 F(s) %3D (s + 1)(s + 2)(s - 3) |

A:

Q: What is the value of the inverse Laplace transform given by L* 2s +3 -1 s2 +2s +3 J

A:

Q: 8 F(s)= s-4s²

A: Given F(s) = 8s4-4s2 Hence F(s) =8s2(s2-4)F(s) = 8s2(s-2)(s+2)                                 (1)…

Q: Find the inverse Laplace transform of F (s) = s+1 s²-6s+5

A: Given function F(s)=s+1s2-6s+5. The objective is to find the inverse Laplace transform of the…

Q: Find the Laplace transform of 0st<1 f(t) = {2 - t, 1st<2 2 <t

A:

Q: 6. Suppose you are working out the Laplace transform of f(t) = e'+4t using the definition of the…

A: Answer

Q: b. Prove that, the Inverse Laplace Transform of the function F(s) below has NO complex values. 2+s…

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

Q: Determine the Laplace transform of the equation f (x) = 2e-"sin4t 16 A s2+ 4s + 20 20 B s2+ 4s + 20…

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Q: 2. x(t) = e5t + cos 3t %3D

A:

Q: 5. Find the inverse Laplace transform of the function as + b H(s) : (8 – a)2 + B2"

A:

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

A:

Q: 2- Find the inverse Laplace transform of the these functions 3 (a)F(S) = S3 4s (b)F(S) s2 + 8 S - 1…

A: According to our guidelines, we are supposed to answer only first three subparts.Kindly repost other…

Q: 1 Find the inverse Laplace transform of X(s) = given ROC: -1<o<3. (s + 1)(s – 3) x(t) =

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Q: determine the inverse Laplace transform of F.

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

A:

Q: 10. Find the inverse Laplace transform of the function 1 1 F(s) %3D (s – 1)(s – 2) (8 – 7)(s – 8)(s…

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Q: 3s+1 F(s) = s2 +4

A:

Q: 1. Use the definition to find the Laplace transform of the given function t, f(t)={2-t, 1<t<2 0<t <1…

A: If f(t) is a function of t defined for all positive values of t, then the Laplace transform of the…

Q: determine the inverse Laplace transform of F.

A: Let f(t) be the inverse Laplace transform of the given function  Take inverse Laplace transform on…

Q: f (t) = e'-²H (t – 3)

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

Q: Let ft) be the inverse Laplace transform of 7s2 + 9s + 30 F(s) = (s2 + 4s + 5)(s – 5)" What is…

A:

Q: Determine the Laplace transform of e-2"cos/3t – t²e-2 3+2

A:

Q: 1- Find the Laplace transform of the following functions Of(t) = (* – 3)² (b) f(t) = sin*4t (c)f(t)…

A: Since you have asked multiple questions we will solve the first question for you if you want any…

Q: Evaluate the Inverse Laplace Transform F(s)= s+ 3s + 2

A: Problem is solved using concept of inverse laplase.

Q: 3. Find the Laplace transform of the piecewise function 0St 3

A:

Q: Find the inverse Laplace transform of 5s + 1 F(s) = s2 – 7s + 12

A: F(s)=5s+1s2-7s+12       =5s+1s2-3s-4s+12       =5s+1s(s-3)-4(s-3)       =21(s-3)-16(s-4)(s-3)(s-4)…

Q: 1. Compute the Laplace transform of f(t)= u(t-3)e-²¹ (a) Using a table (ie using one of our…

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Q: 1. Calculate the Laplace transform of the function when 0 <t<1 when 2 <t<3 everywhere else 1-t f(t)…

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Q: Find the Laplace Transform of the following functions 2(1-e **) -TS 11) 2 Ans. F(s)= S t

A: As we know that the Laplace transform for a function f(t) is :- Lf(t=∫-∞∞f(t)e-stdt

Q: Find the Laplace transform of the function f(t) = (1+e2")² –- 1

A: Simplify the function.

Q: Find the Laplace Transform of f -1 Osx<1 f(x) = 1 x21 2e-s 1 a. 2e-s 52 1 b. 2e-s 1 C. 2e-s 1 d. +

A: We find Laplace transform of given function

Q: Perform the Inverse Laplace Transform of: | in terms of f(t) 2s+3 F(s)=- S s² +4s+13

A: Given that F(s)=2s+3s2+4s+13. Using inverse laplace transform, find the function f(t). Needed…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.