Solve for the Laplace Transform of the equation: y' - y = 2cos5t ; y(0) = 0

Q: Find the inverse Laplace-transform of X(s) given below using partial fraction method. s + 3 s2 + 3s…

A: Inverse Laplace of a/(s+b) =a e-bt u(t)

Q: 1 The Inverse Laplace Transform for L-1 is (s+3)²-4 2

A: Laplace transformation is a linear transformation from the time domain to s-domain. Finding the…

Q: Solve for the Laplace Transform. of the equation: y" – 4y' = 6e3t – 3e-t;y(0) = 1,y'(0) = -1

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Q: the results of Laplace transform.below is: u(t – 1)] L[cos(wo [(I – 1)n (10m)soɔ]J

A: f1(t) = cos(ω0t)f2(t) = u(t-1) Laplace transform of each function is Lcos(ω0t) =…

Q: .. Find the inverse Laplace transform of F( where 1 F(s) = %3D s(s? + 2s + 2)

A: We are given  F (s) =1ss2+2s+2

Q: 14.20ind the ene-sided Laplace transform of K) = u(1) – 2u(t – 1) + u(t – 2)

A: In this question we need to find a one sided Laplace transform

Q: Determine for the current i(t), the voltage across the capacitor velt) for t>0 by using Laplace…

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Q: xample 5.1 ind the Laplace transform for the piecewise continuous unction in the figure shown. g(t)…

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Q: Compute the Laplace transform of the given function. 1. e6t + 5+ e*t + 5t 2. cos(2t) + 7 sin(3t) 3.…

A: We are authorized to answer only 1 question at a time so i am answering only first 3 please repost…

Q: Q.1) Find the Laplace transform of the following: a) f (t)=3sin² 21 b) f (()=3 +e ™ c) f ()=2cos2t…

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Q: · Find the inverse of Laplace transform s+5 , i) Re[s)> 3 ii) Re[sk! iii) I<Re[s< 2.…

A: To find the Inverse Laplace transform

Q: Example 5: Find the Bilateral Laplace transform of the unit ramp function which illustrated below…

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Q: 1 = 0* 5 H 8 V

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Q: Find the inverse Laplace transform of the following X(s): 2s +1 (a) X(s)= Re (s) > -2 s+2

A: Given: The given equation in s domain is: Xs=2s+1s+2,   Res&gt;-2

Q: نقطتان )2( Find Inverse Laplace transform of X(s)= (0.2s+2)/((s-1)(s+2)(s-3)) for * ROC: -2<R(s)<1 4…

A: In this question we need to find a Laplace transform of the given signal

Q: Suppose for the circuit shown, Idc=24 mA, R=625 Ω, L=25 mH, and C=25 nF. There is no energy stored…

A: Part a)  Taking the 80 Ω resistor.   At t = 0- , the circuit reduces as follows: Since the…

Q: )Using the method that applies the Laplace Transform to the circuit below, assuming initial…

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Q: Calculate the inverse Laplace transforms of the following systems, and indicate whether the system…

A: Given transfer functions are: H1s=1-e-3ss+1s2+2s+2 H2s=s3+3s2+3s+1s2+s+1 We have to determine the…

Q: 1) Solve the given differential equation using Laplace transform. x" - 5x' + 6x = 6t - 4, x(0) = 1,…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Q.1) Find the Laplace transform of the following: d)f (t)=4³e-21 e)f t)=4sin(at +b), where a and b…

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

A: Laplace transform is used to convert time domain function in to frequency domain. If the Laplace…

Q: Solve for the Laplace Transform of di L-+iR=E dt where L, R and E are constants and i(0) = 0.

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Q: The Laplace Transform for f"(t) is O s^2F(s) - sf(0) - f'(0) O F(s-a) O SF(s) - f(0) O -F'(s)

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Q: How to compute the Laplace Transform of  x(t)=te-btu(t)

A: The Laplace Transform for any continuous-time function can be expressed as In this case, the…

Q: Find the solution of the following equation by taking the Laplace Transform y" +7y = 10e" Given that…

A: Let us consider a function in time domain f(t) Let the Laplace transform of the above function be…

Q: Solve the Laplace Transform L(cos(at)sinh(at))

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Q: 4. Solve for the inverse Laplace Transform of 5³ +2s +6 s(s+ 1)² (s + 3) G(s) = =

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Q: Find the inverse Laplace transform of 3s+4 a) X(s) = (s+1)(s+2)² b) H(s) = e-5s + s-2 %3D

A: Given function  a) 3s+4s+1s+22b) e-5s+2s-2

Q: 2- Find the inverse of Laplace transform s-1 a) s?(s+3) , Re[s>-3

A: As per our policy, i am attempting first question. Given system, Xs=s-1s2s+3, Res&gt;-3 Taking…

Q: Find the Laplace Transform of the following functions 2 Ans. F(s) = (s–1)} 5) f(t) = 2te' -

A: Use the constant multiplication property of Laplace Transform:For function ft and constant a:…

Q: Find the Laplace transform of 8(t). 1 Oo Infinity 02

A: Given, To determine the Laplace transform of δt

Q: The ROC for the bilateral Laplace transform of x(t)= e) is, (a) Re(s)-a (c) -a<Re(s)<0 (d) ROC…

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Q: 5. (0- - )

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Q: Find the inverse Laplace transform of 3s+4 a) X(s) (s+1)(s+2)² 2 b) H(s) = e-5s S-2

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Q: H.W: Find the Laplace Transform of the following: 1) L(2+e³t+ cos2t + sin 6t) 2) L(e-²t cos3t) 3)…

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

Q: 3.48. Find the Laplace transform of x(1) = (e" cos 2 – Se"" )u(1) +"u(-1)

A: fax(t)=[x1(t)-x2(t)]u(t)+x3(t)u(-t)x1(t)=e-tcos2t u(t), L[x1(t)]=(s+1)(s+1)2+4x2(t)=5e-2t u(t),…

Q: Get Laplace transform of 100/((s+1)^2*(10s^2+13s+508))

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Q: Let y 21+3 be a tangent line to f() at t=0 and let the Laplace transform of fO and f') exist. If the…

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

A: This question belongs to signal and system . It is about inverse Laplace transform of the function .…

Q: Transform the given initial value problem into an algebraic equation involving L{y} =Y(s). Solve the…

A: Given differential equation is,  y'' + 2y' + 2y = cos(2t) Initial conditions are :-   y(0) = 1 ;…

Q: Determine the Laplace transform of i(t) = 5e-3t sin 6t www

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Q: The Laplace Transform for sin(at) is * O 1/(s-a) O s/(s^2+a^2) O s/(s+a) O a/(s2+a2)

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Q: 2. What is the Laplace transform of the function f(t) defined by : f(1) = 0, for t < 0 sin (ot + 0),…

A: In this question we will find Laplace of given function..

Q: - Find the inverse of Laplace transform s+5 (s-1)(s+1)2 Re[s]> 1

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Q: r(t) = t^2, therefore its laplace transform is

A: For the given Function  r(t) = t2 Laplace transform of given function is calculated as shown below…

Q: 3. By applying the final-value theorem, find the final value of f(t) whose Laplace transform is…

A: Note: We are authorized to answer the first question since the exact one wasn’t specified. Please…

Q: Q3. Using the Laplace transform tables, find the Laplace transforms of the following functions for…

A: a) Given, ft=3sin5t+2cos3t+6t3 Taking Laplace transform…

Q: Find the inverse Laplace transform s +3 of F(s) - s +2s + 5) 5)(s-

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Q: Question: - Find the Laplace Transform of the four functions? 1- f(t) = cos(t) [cos2(t)-sin? (t)]…

A: In simplifie the given trigonometry function by using trigonometry formula then we apply Laplace…

Q: Find the Z Transform X(n) = {2, 4, 6, 0, 8, 10} take note an arrow is pointing towards 0

A: Given : X(n)={2,4,6,0,8,10} arrow is pointing towards 0 which means x(0)=0 we need to obtain the Z-…