s² + 1 L-1 [s(s - 1)(s + 1)(s – 2)

Q: Find the inverse Laplace transform of the following: 1. L-1 2s+1 (s+1)²,

A:

Q: Find the inverse Laplace transform of (i) using Residue theorem. (s+3)(s²+5s+6) (ii) using…

A:

Q: The Laplace transform of f (t) = { 4 0<t<2 is: t2 2 -4 1+2e-25 F(s) : %3D O This option 2+e-s F(s):…

A:

Q: 1. Find the Laplace transform of the function f(t) = eat[a cos(Bt) + b sin(3t)].

A:

Q: 3s+2 s+25

A:

Q: The inverse of Laplace transform of F(s) = S-4 is s2-4s+4 %3D e2t (1 – 2t) (1 – 2t) the above the…

A: Using Partial fractions method, F(s) can be decomposed into

Q: Find the laplace transform of (t – 1) · u(t – 1) O e 25/s2 O e°/3s O es/s² e$/s? O - e 35/s O None…

A: According to the guidelines we are instructed to solve only one question, the other questions can be…

Q: Find the inverse Laplace transform 3s +1 b) s(s? +1)

A: We need to find the inverse Laplace of Fs = 3s + 1ss2 + 1.  First, we need to find the partial…

Q: Find the Laplace Transform of cos(2t) + 7sin(2t) s – 14 A s2+2 14 B s2+4 $2 – 4 s+ 14 s²+4 14 D s2+4…

A: Given f(t) = cos(2t) + 7sin(2t)

Q: Find the inverse Laplace transform of F (s) 3. %3D s2 O 3t /3 -/3 /3

A:

Q: Find the Laplace transform of e- (s+1)? s-1 (s-1)2 s+1

A:

Q: ) Find the Laplace transform of a) () = 3e- + 2 cos(t) – 5t/2 13. b) s(t) = t*e*

A:

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: F(s) = (2s + 16) / (s^2 +4s +19)

A:

Q: Find the Laplace Transform of h(t) = 1²e-3t (s – 3)3 4 (s+ 3) (s+3)2 2. 2.

A:

Q: Find the Laplace Transform of et + 5 A s-4 5 B S-4 S s+4 D s+4

A: Linear transformation is used to solve the differential equation. For example the first order…

Q: Find the inverse laplace transform of the followings; a)  X(s)=(s+2)/(s^2+2s+5)…

A: a) Xs=s+2s2+2s+5 Apply Laplace Inverse transform…

Q: Find the Laplace transform of: e't + sin(3t) (s-1) (s-1) (8-1) s+9 9 (s-1) g2+9

A:

Q: Find the Laplace Transform of h(t) = t? sin(2t) 12s?– 16 A H(s) (s²+4) 3 48² – 3 B H(s) (s² – 4) 3…

A:

Q: Find the Laplace Transform of h(t) = t? sin(2t) = ='s 3s2-4 A H(s) = (s2+4) 2 482 – 3 B H(s) =…

A:

Q: The Laplace transform of f (t) = e-3t cos(2t) + 2te3t is: 5 1 F(s) s²-6s+34 s2+4s+4 This option s+3…

A: Last option is correct answer . Thankyou !

Q: 5) – (s + 1)2

A:

Q: Find the inverse laplace transform of : -S -2s 1– 2e + e F(S) = (6? + 4) (s)

A: To Find the inverse Laplace Transform of given Problem first we will use the linearity property then…

Q: Evaluate the Inverse Laplace Transform S-1 F(s)= (s1)(s?1)

A: The solution is given as

Q: The inverse laplace transform of 3s2+4/s(s2+4) is A. 1+cos 2t B. 1+3cos 2t C. 1+2cos 2t D.1+3cos t

A:

Q: Determine the inverse Laplace transform of s? + 3s +3 s4 + 11s3 + 45s² + 81s + 54 N(s) X(s) = %3D…

A:

Q: Give the inverse Laplace transform of 4 4 S F(s) = + 2e-48 + 3e-4s (s+3)²

A:

Q: .Find the inverse Laplace transform of 3 F(s) s(s? – 2s + s) O-3 – 3t + 3e 03 – 3t + 3e-t 03 + 3t +…

A: F(s)=3s(s2-2s+s)F(s)=3s(s2-s)F(s)=3s2(s-1)Partial…

Q: .3 \S

A: From the given problem:   L-125-1s32   We can write as:   2s-1s32=4s2-4s4+1s6   Now,…

Q: Find the Laplace Transform of e 2 cos3t + 5e 2 sin3t - s+2 + s2+9 15 A. g²+9 (s+2) + 15 (s2+4s) + 13…

A: To find the laplace transform of given function first we will use the linearity property of laplace…

Q: Find the Inverse Laplace Transform of the following: 1. F(s) (s+5)6 s-1 2. Y(s) s2 +4s+5

A:

Q: Determine the Inverse Laplace Transform of F(s) = 8(s+1) %3| s(s2 +4s +8)

A:

Q: Find the Inverse Laplace Transform. 4s+16 F (s) = 4s2+4s+1 O ei (플) O et (플+ 1) 2 (t+1) e 2

A: We have to find the Inverse Laplace Transform of Fs=4s+164s2+4s+1

Q: 11: The Laplace transform of the function f(x) = xe4* is a) 1/(s – 4)2 b) 1/(s + 4)? c) 1/(s – 2)4…

A:

Q: Find the Laplace Transform of e-t sin2t 2 2s 2 A. ²/+ B. S (s+1)²+4 (S-1)²+4 C. S+1 s(S²+4) D. None…

A:

Q: The Laplace transform of f (t) = {*, (4 0<t<2 is: t2 2 1-2e-2s F(s): This option 2+e-s F(s) = O This…

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

Q: Find the inverse Laplace Transform of  F(s)= 6s/(s2+25) + 3/(s2+25). COMPLETE SOLUTION

A: The solution is given as

Q: The Laplace transform of (1+ sin 2t) is 1 a) 1 b) s* +4 1 d) s* +4 2 1 c) 2 ーナー 十- s² - 4 2.

A: Laplace transformation is used to find the solution of linear,constant coefficients ordinary and…

Q: 1. Find the inverse Laplace transform of (s – 2)e¬s s2 – 4s + 3* F(s) =

A: We have to use Laplace Transform Table here.

Q: Find the Inverse Laplace transform of F(s) 8(s+2)-4 %3D s2+4s+29

A: Now, to find the inverse Laplace, firstly simplify the expression a little.…

Q: The Laplace transform of f(t) = et-2 cos(2t – 4) U(t – 2) + 2e-3t (cos(t) – 1)

A: The given function: This can be written as, Apply Laplace transform on both sides, The Laplace…

Q: Find the Laplace transform of te s+1 (s+1) (s-1)2

A:

Q: Find the inverse laplace transform of F(s) = 6s/(s^2 + 25) + 3/(s^2 + 25) * %3D

A:

Q: 6s + 15 s >0 s2 + 25

A: The given function is    9s+15s2+25        s&gt;0     we have to find inverse Laplace Transform of…

Q: Have both question and answer, but need help knowing how to get that answer using laplace transform…

A: Given function is,

Q: Find the Inverse Laplace Transform of the following: 1. F(s) = (s+5)6 S-1 2. Y(s) s2 +4s+5

A: The given problem is to find the inverse Laplace transform of given function, we can use inverse…

Q: Find the inverse Laplace transform, with respect to t, of s+2/s^2−4s+3

A:

Q: 3. Find the inverse Laplace transform of the given functions. 1 a) F(s) = %3D s(s+1) S+6 b) F(s)= s?…

A:

Q: Find the Laplace Transform of cos(2t) + 7sin(2t) S- 14 A s2+2 14 s2+4 s2–4 14 s2+4 s2+4 s+ 14 s2+4

A:

Q: Find the Laplace Transform of ei +5 A S+4 S-4 S-4

A: Laplace transform of the function