f(c) = e-3csin(2c)cos(2c)

Q: Prove the following using a proof by contrapositive: Let z be a rational number. Prove that if ry is…

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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: g(t) = t cosh 3t

A: Find the Laplace transform of the function             g(t)=t cosh(3t)

Q: Example 7.5 Determine the Inverse Laplace Transform of the following expressions using Partial…

A: We use the table of Laplace transform to solve the given question.

Q: Solve the inverse Laplace transform: 2s-4 s2+8s+13

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Q: use the laplace transform to solve

A: Hi! As per norm we will be answering only the first question since both of the solutions are long.…

Q: f(d) = e-2d d4

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Q: f(t) = t2 cos 2t.

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Q: t3 - 3t2 + 5t – 8

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Q: f(t) = e-2tsin²tcos²t

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Q: Determine ¹ 4s²-5s +6 (s+1)(s² + 4)

A: To find the inverse Laplace transform of the below function. L−14s2−5s+6s+1s2+4

Q: on the function fcs) 35 - 17 s- 65+25 %3D

A: Inverse Laplace transform of function is : 12e3t(6cos4t-sin4t

Q: 5 sinh (3t) +4 cosh (3t)

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Q: Solve the laplace transform 3x-6x= Sin 2t %3D given when t=0

A: Use the laplace transformation table and derivative formula

Q: 50 (s² + 15s + 2) 25s2 + 202s + 25

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Q: 3. F(s) = = 3s+2 (s-4) (s+1)(s-3) 4. F(s) = 5s-2 s³+3s²+s

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Q: y" - 4y + 13y = sin(2t) y(0) = y'(0) = 0

A: We have to solve the differential equation  by Laplace transformation.

Q: FIND THE INVERSE LAPLACE TRANSFORM

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Q: Find L (t*ett)

A: You asked to find inverse Laplace transform.but your image is for Laplace transform.

Q: Solve the Laplace transform of: 3 cos 8t + 2 sin 8t

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Q: Find L-1 (24) 3 2s-4

A: Answer

Q: f(t) = t²sinh3t

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Q: 3 cos(wt - a), where w and a are constants

A: We find the Laplace transform

Q: + 2+x = 2t²u(t) x(0) = 0; x'(0) = 0 %3D %3D %3D

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Q: 1. F(s) = S-6 s²+4s+5 2. F(s) = 3s²+5s-4 54

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Q: f(t) = [1 – u2m(t)](2 sin t – sin 2t) |

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Q: 3s-2 F (s) 2s2 –6s-2

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