7. s s-4 Determine the inverse Laplace transform of the function tº +7e". 144 а. C. 144 5 tº +7et 144 5 t° +7et 144 b. -4t d.

Q: 36 3€ Find the laploce transform of f'(E) = e^†cos (6t) - e cos (Gt)

A: To find the laplace transform of ft=e3t+cos6t-e3t cos6t.

Q: Find the Fourier transform of each function. In each case, a is a positive real constant. Answer:…

A:

Q: Use the Laplace transform table and the linearity of the Laplace transform to determine the…

A: Introduction: If a function has a finite number of breaks and does not blow up to infinity anywhere,…

Q: Find the Laplace transform of the following functions: 1. L{5} 2. L{t³} 3. L{e³t} 4. L{sin 4t} 5.…

A:

Q: Find the Laplace transform of the following: 2. f(t) = v1+ sin t + (5t)18 + t² cos 2t

A: Here given function as ft=1+sin t+5t18+t2cos 2torft=sin2t2+cos2t2+2sin t2cost2+5t18+t2cos…

Q: Chapter 7. Find the La Place Inverse Transform. 48 9-1{1/8 + A) 4t4 + 4 sin(4t) C) 2t4 + 4 sin(2t) 8…

A:

Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 9s +…

A:

Q: Find the inverse Laplace transform following: 0.2s+1.8 1. s43.24 4s+32 2. s-16 25-1 3. si-6s+18

A:

Q: The inverse transform of * 1 2 4s8s O % e (exp -t) sinh t O % e (exp t) sinh t O 1/4 e (exp -t) cosh…

A: Solution:  Given,  14s2-8s = 14(s2-2s)                             =14(s2-2s+1)-4=14((s-1)2-1) Now,…

Q: 3. cos?wt

A:

Q: 2. Y(s) = J(2s – 3)5 %3D

A:

Q: 3. Find the Fourier transform 4. Find the Fourier transform of of 6e-ltl of of 1/(1+ t²).

A:

Q: 3s-16 3.) s2-24s+69

A:

Q: 4. (a – bt)?

A: Consider, a-bt2Suppose ft=a-bt2Then ft=a2+b2t2-2abt

Q: laplace transform

A: Given function is yt=3e-tcost-2cos2t-sin2t We need to find the Laplace Transform of the function.

Q: 2S-1 s2-6s+18' 8) L-¹ {₂.

A:

Q: XP+2ap +2a') ple 23: Find the inverse Fourier sine transform f(x) of F, (P- ap

A:

Q: The Laplace transform of L(sin7t) is 8+49 49 s2+7 s2-49 s2+49

A: we know from Laplace Transform Table  Lsinat=as2+a2

Q: 2.) cos (10t+1)

A:

Q: Laplace transform of the following functions: 2. t5/2 sinh 4t

A: We find the Laplace transform of the given function in Problem 2

Q: 3. Find CH(t) when H(t) = (et-3)(e?-) %3D

A:

Q: Using Table of Laplace Transforms, find the Laplace Transform of the following function: cot(-7t)…

A:

Q: Find the Inverse Laplace Transform of s?+2s + 10 'sin3t A 3 3 sin9 3. cost

A: Inverse Laplace transferom

Q: F(s) = [cots. 14. a sin(22 -t)- sint (b cos(21 – t) – sint di di 2(t1 – 2?) 2(tえ - ) cos (22-t)-…

A:

Q: Find the inverse Laplace transform following: 1. 2s+8 s²+4 4s+32 2. s²-16 3. 2S-1 s²-6s+18

A:

Q: Find the inverse Laplace transform following: 0.2s+18 1. s+3.24 4s+32 2. s2-16

A:

Q: 1 Inverse Laplace transform of is given by (s-3)7 t°e-at 6! t°eat 6! t°e3t t’e3t 7!

A: Given: Inverse laplace transform of   1s-37                  =L-11s-37…

Q: Q2) Use the Laplace transform tables in lecture notes to find the Laplace transform of each function…

A:

Q: 3. 2S-1 s2-6s+18

A: