d² y(t) 24² +26 dy(t) + 2y(t) =3u(t) dt 3(0)=1; 3(0)=0 Using Laplace Transform Method y(x) = ?

Q: Find Laplace transform of x(t)=t (cos)^2 (wt)u(-2t). *

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Q: Find the inverse laplace transform of the problem L-[- u+1 (u+1)²+1! L[f(u}] = F(t)

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Q: 1) f(t) = e3t+ sin²t +6 cosh /7t -3t²

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

Q: When calculing the Laplace transform of the function f(t)=e^2t.sin(4t) is obtained as a result:

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Q: 3e-2t, where x(0) = *(0) = 0 Q2. Find the response of a system * + 5x + 6x = a. Obtain the transfer…

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Q: 7. F(t) = [sin (t -) - cos (t -)u (t -) | 8. F(t) = 8 sin cos t 9. F(t) = cos cos (; – bt) - bt), b…

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Q: Use the method Laplace transform to solve the following. (a) 2r' + 7r=3e-t, x(0) = 4. (b) 2r' +…

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Q: Find the Fourier transform specified in part (a) and then use it to answer part (b). (a) Find the…

A: Given function is: fγ,p,t=e-γtsinpt0t>0t<0 It is a form of the step function which is…

Q: Use Laplace Transform to solve Ø(t) + 2 * cos(t−7)ø(7)dt = e¯¹ for ø(t). -t 0

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Q: 1) x(t) = 1(t- 47T)

A: Solution 1: Given function is x(t)=1(t-4T)           (1) Let the z-transform of x(t) is X(z)…

Q: Find the Laplace Transform of h(t) =t² sin(2t) 4s2 –3 A H (s) (s²– 4) 3 3s2 – 4 (B) H (s) = (s²+4) 2…

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Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = (1 – t)(h(t – 1) – h(t – 3)), for s…

A: Rewrite the given function as follows.…

Q: a' +x = 6+ 8(t – 4), x(0) = 0. Find the Laplace transform of the solution. X(s) = L {x(t)} = help…

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Q: Find the Fourier Transform X(w) of each signal x(t) given below. (a) x(t) = 1 + cos(3t) (b) x(t) =…

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Q: 2s2 +13s+6 Find the inverse Laplace transform of H(s) = (s+2)2(s-1) assuming that a) h(t) is causal…

A: We will find out the required inverse Laplace transform of H(s)

Q: Using Z-transforms, y(k+1)+y(k) given that y(0) = 2. solve the following difference equation: = 14k

A: Solving the z tranform equation

Q: The function x(t) satisfies the ODE with initial conditions x(0) = 0, x(0) = 0 and X(s) = (a) Find…

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Q: Solve using the method of undetermined coefficients: y" + 3y" – 10y' = 2 + xe* %3D

A: Given: y''' + 3y'' - 10y' = 2 + xex

Q: Solve y"+y=2t, y 4)=(4)=2-√2 by using Laplace transform. of f/x)=1/x/x²2² +01 Find the courier Sine…

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Q: Exercise III Use the method Laplace transform to solve the following. (a) y"-10y +9y = 5t, y(0) =…

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Q: 2) find the fourier transform x(t) = u(t) x(t) ulzt) x²(t) = u(+ + 5) -

A: xt=utxt=u2txt=ut+5xt=ute-jw0t

Q: If f(t) = 1; Itsa 0; |t| 2 a ; then find the Fourier Transform of f(t).

A: Given f(t)=1, t≤a i.e., -a≤t≤a0,t≥a i.e., t≥a & t≤-aFourier Trasnform of f(t) is:…

Q: y (t) = 1- y(t-r)e e*dr , y(0) = 1 -2r

A: To solve the below equation using the Laplace transform. y't=1−∫0tyt−τe−2τdτ, y0=1

Q: 4.0 f(t) = 3 – e-3t + 5 sin 2t

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Q: ý + 16y = 8 (t – ) sin (2t), y(0) = 0, ÿ(0) = 0

A: The solution is given by using some formulas of Laplace transform as follows :

Q: Find the Fourier transform specified in part (a) and then use it to answer part (b). (a) Find the…

A: In part (a) we have to find the Fourier transformation, Given, f(γ,p,t)=e-γtsin pt  t>0,0…

Q: Encik Samsudin, a PhD student has reported the concentration of E.coli bacteria, C(μg/L) in a…

A: Given: C=kmaxt25+2t2+3.5t To find the root and to determine the fastest time for the E.coli…

Q: 7. F(t) = cos?- sin? 2 8. F(t) = cos ( bt 9. F(t) = 8 sin- cos %3D

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Q: Find Z transform for 3 F(t) = t * * F(t) = u(t-2)

A: Given that F(t)=t3 F(t)=u(t-2) We have to find the Z transformation of f(t).

Q: -24 e Fis)= ?

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Q: Find a function f(x) whose Laplace transform is e-3p p² +25 You should find f(x) = K sin(R(x -…

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Q: x' + æ = 9+ 5(t – 2), x(0) = 0. Find the Laplace transform of the solution. X(s) = L {x(t)} help…

A: Given that, x'+x=9+δ(t-2),x(0)=0 To find the laplace transform for the given equation, Take,…

Q: (a) Solve : 2. at given that : u (0, t) = 0 u (5, 4) = 0 u (x, 0) = sin (xx) using Laplace…

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Q: rect (2) g(t) = rect (+2) then (1) Draw f(t) and g(t); (2) Find and draw y(t) if y(t) = f(t) * g(t)…

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Q: d²x (d) +2- dt² dx dt + 3x = 3t, subject to x = 0 and dx/dt = 1 at t = 0.

A: Given that the differential equationd2xdt2+2dxdt+3x=3t   Subsject to x=0  and dxdt=1  at x=0That…