2s-1 's²-6s+18*

Q: 8. x(t) = e2" (t³ + 3t) %3D

A:

Q: 8s – 18 Find the inverse Laplace transformf(t) = L¯' {F(s)} of the function F(s) : s2 – 4s + 20

A: Consider the provided the question,

Q: Solve the Inverse Laplace Transform. Write your answer on clean paper clearly and readable. Don't…

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Q: 6. 7. 5 (s+3)² 3 s2-32

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Q: Find the inverse Laplace transform of s+1 F(s) = e-2s, %3D s2-2s + 2

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Q: Cestit

A:

Q: xct) = 3(t/4) e 6.

A:

Q: 1 s²+4s+4

A:

Q: t° cos(5t) + cos(2at) cos (3at) COS

A: 1) Ltnf(t)=(-1)ndndsnLf(t) 2) Lcos(at)=ss2+a2

Q: S ¹{1²5²+7²7²}; Land n are constants

A:

Q: sin 3t f(t) t

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Q: L {sin(wt + O)}; w and O are constants

A:

Q: 7. co sh?t CO 9.

A: The given problem is to find the Laplace transform of the given function f(t). Given function f (t)…

Q: 3s+10 W (s) s(s-8)(s-6)²

A:

Q: 2t e Sinht

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Q: t も c6 10. XCt)> { -8 + -8 t ct-6)? » t >6

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Q: f(t) -1+ y=sen t, п<t<3П π 2 П 3п t

A:

Q: F(s) F(s) = = s²-1 1-2s s²+4s+5

A:

Q: yct)= sin 2t cos 34

A: Given: y(t)=sin2t cos3t

Q: k b

A: Note: Since the transformation is not mentioned so Fourier transformation is performed.

Q: SOLVE FOR THE LAPLACE TRANSFORM. Provide the step-by-step solution

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Q: 2s2+10s F(s) (s + 1) s2-2s+5

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Q: G(t) = t5 – e-9t + 5(t – 1)?

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Q: 8s + 12 s² + 4s + 29

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Q: Let a, b and c be real constants. Consider the ODE ay" + by' + cy = 0. Which relationship must be…

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Q: 14. N(x, y) = (-x, y) %3D 2.

A:

Q: 2s – 10 -5s

A: We have to solve given problems:

Q: 5 s (s – 2)2

A: And: 5e2t(2t+1)

Q: -s-1 1. F(s) s2+s-2 2s+5 2. F(s) (s-3)2

A:

Q: 4iw i3w3 + 6i²w2 + 11iw + 6

A: Given: 4iωi3ω3+6i2ω2+11iω+6 To find: Inverse Fourier Transform of the given expression.

Q: (c) f(t) = 0, t<3 t² + 3t-8, t≥3

A: Laplace transformation of the pecice wise function

Q: Jx + L. f(x) = L, *0 > x> 7- f(x + 2L) = f(x) Problem 2: %3D 0 <x < L;

A: This is the problem of Fourier Analysis.

Q: 0 9. f(t)=t-n 0 if t 2π

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Q: Find the Laplace transforms F(s) of the following functions: a. 4t+3 b. 5e²¹ +4e-3t c. 3t² +8 sin 5t

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Q: 15. 16. 0.5- 2

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Q: fCt) = 3e 4t C1- 3t + 2t?)

A: The Laplace transformation formulas are Lekt=1s-k, Ltnft=-1nFns, where Lft=Fs. Simplify the given…

Q: f(x)x| a = __ h=_k= _

A: