Find the inverse laplace of s+5 s²+5s-14 01/e²t - e-7t 2t Oet-e-t 7 0e²+ e-t O Oe-t-et 27t 0 ²/1 e ² + 1/ e-7t O O 0e²t + et 7t 01/e-2-2/e¹t 0e²t + et

Q: y Ct) = 5e - 2t Cos 67 fCt) = 3c 4t C1- 3t + 2t 2) -4t (1- 3t + 2t²)

A:

Q: f(t) = 3e7t - 3 cos(3t) + t?e-4t + 6.

A: Given  f(t) = 3e7t - 3cos(3t) + t2e-4t + 6    Results:  1) Laplace transformation is linear  2)…

Q: Find the Inverse Laplace Transform of: 3s + 1 (s² – s – 2)(s² – 4s + 13) F(s) ublic A ou to \rotecti…

A:

Q: S. (1+x²)² da is

A:

Q: a) Solve the initial value problem using Laplace transform IMUTM UTM UTM IM UTM TM UTML

A: First we take Laplace transform of given differential equation and solve.Then solve for inverse…

Q: L[3t³e=3tcos2t]

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

Q: Q4. s+13 Find the inverse Laplace transform of s²-6s+34

A: Introduction: Laplace transformation is important in the design of control systems. It is necessary…

Q: find inverse Laplace 2s-11 s²-4s+ 8

A:

Q: Find inverse Laplace of 5s +3 (s-2) (s2+4s+29)

A: We have given that ,  Fs = 5s + 3s - 2s2 + 4s + 29 We need to find Inverse Laplace Transform ,  That…

Q: WHAT IS THE INVERSE LAPLACE TRANSORM OF THIS ITEM? 2s2+16 49 s2_. 121

A:

Q: L{e2"sin2t + etcos3t}

A:

Q: s2+6s+8 L-1 s4+8s2+16]

A:

Q: +23

A:

Q: Flw) = Sinlw) e?Jw o.5W

A: Given function is: Fω=sinω0.5ωe-2jω or Fω=2sinωωe-2jω The standard inverse Fourier transform…

Q: Find the inverse laplace of s+3 s2-8s-9

A: Given,  s+3s2-8s-9

Q: Find the Laplace transform of f(t) = 4 + 3t – 5t² — 2(t-1) a. (6s²-s-10)/s³ b. (6s² + s-10)/s³ c.…

A: Here we have to find the Laplace transform.

Q: P(s) = +50s²+281s+500 s4+15s³ +75s² +125s 3s³

A:

Q: Calculate r1(t)·r2(t)] and dt [r1(t) × r2(t)] first by differentiating dt the product directly and…

A:

Q: Q3. Find the inverse Laplace of s*+2s+2.5 (s-1)(s2+1)2

A: Given Ys=s4+2s+2.5s−1s2+12 Take partial fraction of s4+2s+2.5s−1s2+12…

Q: Obtain the Fourier expansin f I+ 9X în -3 LXLO 3 f(x) = %3D 3.

A:

Q: Find the inverse laplace of: L-1{(s+2)/(s2+4s+20)}

A:

Q: 2 7s- 41S +84 ) FG)= (5-1) (s²-45+13)

A:

Q: olve the Laplace transform of:

A: Introduction: The Laplace transformation of a function f(t)=eat is given by, ℒ[f(t)]=1(s-a), s>a

Q: Q(s) = 5s³-28s2 +658+8 (s2+4) (s²-6s+13)

A:

Q: L-1 2 l(s + 3)(s + 5) 5)] -

A:

Q: 1 F(5) = (s?+1) (s?+4s +8)

A:

Q: -et Cos wot Z a tj w 2 t Wo

A: We have to use Fourier transform formula.

Q: Find the Inverse Laplace of -s?+2s+11 F(s) = а. (s-1)(s+5)(s+1)

A:

Q: Determine the inverse laplace of 2s/(s2+9s+11)

A:

Q: XCt) = Ct +2)sin Ct -4) xct) = 3(t/4) e 78

A: Some of the properties of Laplace transformation Ltnf(t)=(-1)ndndtnf(t)…

Q: find the inverse laplace of (s²+2s/(s²+1)(s²+4))

A:

Q: 4s + 12 s2 + 8s + 10 4e 4t + 4te 4t 4et - 4tet Option 4 O Option 1 4e 4t - 4te4t 4et + 4tet Option 3…

A:

Q: Solve the sifferential equation using tHce Laplace transforms- you y =I y lo)=y'(0) = y"(0)= 6 %3D

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: (4) 3 2s-4 1 s2+4s+4 s+2 s2+4s+5 5s-6 s2 –3s

A: