If y " +3y + 9y = 6e3t, y (0) = 0, y/ (0) = 5 what is %3D %3D the Laplace transform of y? 6. s2+3s+9 (s+3) (s²+3s+9) 6. s2 +3s+9 (s-3)(s² +3s+9) 5s 6 s2+3s+9 (s+3)(s² +3s+9) (s+3) (s2+3s+9)
Q: Q4 Obtain the particular solution for: 2y" +2y =2sin x y(0) =0, y'(0) =1 (a) By using Laplace…
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Q: x(t) e-a'u(t), a > 0 (п — 1)! Is the reliable given x(t) the product of the Fourier transform? NOTE:…
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Q: 3. Use Laplace Transform to solve the initial value problem. y" 6y + 5y=0; y(0) = 1 and y'(0) = -3 -
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Q: Suppose an undamped forced spring mass system is driven by the equation + 9x = f(t), dt where the…
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Q: If y " +2y + 2y = 3t2. y (0) = 0, y' (0) = 2, what is the Laplace transform of y? 6. s3 (s2+2s+2) 6.…
A: Solved belo
Q: Find the particular solution of y' - 2y = e3x if y(0) = -5 using Laplace Transform. %3D %3D
A: The given initial value problem is y'-2y=e3x , y(0)=-5…
Q: What are the coordinales of T for the transformmation (T-3, 1) D.XATUV) of T(-7,-6), U(-8, 3), and…
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Q: Determine the Laplace transform of (1 + e-t)2 7s2-7s-10 a. s(s+1)(s+2) 14s+2s+13 b. s(s+1)(s+2)…
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Q: Use laplace transform to solve the initial value problem; a) y''+y=alpha(t-1/2pi)+alpha(t-3/2pi),…
A: Given y''+y=α(t-1/2π)+α(t-3/2π),and y(0)=0, y'(0)=0…
Q: Using Laplace transform to solve the IVP: y" - 5y = e", y(0) = 0, y'(0) = 0, then, we have ---…
A: As per guidelines i had solved the first question .kindly post another question separately.
Q: If y" -6y' +9y = 5t², y (0) = 0, y' (0) = 1, what is the Laplace transform of y? 8 s²-68+9 + 10…
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Q: What is the value A 4B for Y(a)= which is Laplace transform of the solution of initial value 16…
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Q: 2 (b) Find the inverse Laplace transform of by using s(s2 + 2s + 4) (i) Partial fraction (ii)…
A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: When the Laplace transform is applied to the problem y" + 4y' + y=e", y(0)= 1. y'(0)= 2 the…
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Q: By using Laplace transform to solve the IVP: y"-6y' + 9y = 0,y(0) = 2, y'(0) =-4 %3! Then Y(s) is…
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Q: How do I solve for the third order y''' - 4y''-11y' + 30y = 4e^8t + t^2 using the method of 1.…
A: repost the question for other method separately
Q: What is the Laplace transform, Y(s) for 3y" + 2y'-y 5 where y(0) = y'(0) = 0? %3D a. (3s-1)(#+1) b.…
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Q: Discuss comprehensively the process of determining the Inverse Laplace transform of: s4 – 7s3 + 13s2…
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Q: Solve the shifted data IVP by the Laplace transform method showing your work in details.…
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Q: If y " +2y' + 2y = 3t2, y (0) = 0, y (0) = 2, what is the Laplace transform of y 6. s3 (s2+2s+2) 2s…
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Q: If y " +3y + 9y = 6e-8t, y (0) = 0, y (0) = 5 what is the Laplace transform of y? 6. s2 +3s+9…
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Q: Determine the Laplace Transform of e1- c cos /7t + sin V5 4. sin /5 12s-7 s2+7 none of the choices 4…
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Q: You have a Laplace transform of the form Y (s) = -DG+2) + F6+3) e -e-2s s²(s+3) S 1 (s-1)(s+2) To…
A: Solution: For finding y(t), that is inverse Laplace transform of Y(s). We need to first reduced it…
Q: I have not yet been taught Laplace Transform by my lecturer, I believe. Isn't there another way…
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Q: Find the laplace transform of ƒ (t) = 3t³ − 2e²t + 2 cos 2t OF (S) = OF (s) = OF (s) = OF (s) = OF…
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Q: 3s – 137 - F(S) %3D s² + 2s + 401
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Q: Suppose an undamped forced spring mass system is driven by the equation d²x di² where the Fourier…
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Q: Find the solution of the First Value Problem given below by Laplace Transform Method. y′′′ − 2y′′ +…
A: Given differential equation is y'''-2y''+5y'=t (i) With conditions y0=0y'0=1y''0=2
Q: Q4 Obtain the particular solution for: 2y" +2y=2sinx y(0)=0, y'(0)=1 (a) By using Laplace transform…
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Q: 10s – 3 - Find the inverse Laplace transform of F(s) s2 – 4 - 17 O f) 23 -2t -e 4 23 4 17 + 4 -2t…
A: I have stated the used formulas in the solution
Q: What is the value of the inverse Laplace transform given by L 2s+1 8 J s2 +2s +3 O a. e-t (2…
A: Some Laplace inverse transform formulas: L-1(s-a)(s-a)2+b2=eatcosbtL-1b(s-a)2+b2=eatsinbt
Q: Suppose an undamped forced spring mass system is driven by the equation + 9x = f(t), dt where the…
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Q: Determine the constants a, p, yo and y'o so that 3S +3 Y(s) = (s + 2)² is the Laplace transform of…
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Q: 5. Determine the Laplace Transform of te2t cos5t s2-2s+11 a. (s²+4s–29)² s2+2s+21 b. (s2+4s+13)2…
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Q: Solve the initial value problem using Laplace Transform of: y'' - 3y'+10y = e-2t when y(0)=0,…
A: Given initial value problem is y''-3y'+10y=e-2t,y0=0, y'0=1 To find the solution of the equation.
Q: If y " +3y +9y = 6e-3t, y (0) = 0, y (0) = 5 what is the Laplace transform of y? %3D
A: Given Solve using Laplace y''+3y'+9y=6e-3t, y0=0, y'0=5
Q: If y " +2y + 2y = 3t2, y (0) = 0, y (0) = 2, what is the Laplace transform of y? 2 s2+2s+2 s° (s²…
A: Given:y''+2y'+2y=3 t2, y(0)=0, y'(0)=2
Q: 3. Using Laplace transform, find the solution of conditions y(0)=3 & y'(0)=1. d²y dt² +2y = cos 2t,…
A: Given d2ydt2+2y=cos2t with initial condition y0=3, y'0=1
Q: Б) у —у +Зу — 5у%3D—-бе-t У () %3 1, у (0) %3D2, у' (0) %3D— 4
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Q: Laplace under initial conditions x '+ y' + x= 0 and x '+ 2y' = 1 equation system x(0) = y (0) = 0…
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Q: Problem 2 4s+3 (s – 1)°(s²+ 4)
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Q: If y " +2y + 2y = 3t2. y (0) = 0, y (0) = 2, what is the Laplace transform of y? 2s 6 s2 +2s+2 33…
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Q: 0= "D = °P 0.1 4. b = Sf()sin(n@,t) dt=: 4 |(30t-3)sin(5nzt )dt 0.4 30t - 3 : sin(5nnt) cos5nnt 30…
A: Okay I am explaining
Q: By using Laplace transform to solve y" + 4y + 8y = sint with y (0) = 1 and y' (0) = 0, what would be…
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Q: 4. Determine the Laplace transform of (1 +et)2 7s2-7s-10 a. s(s+1)(s+2) 14s2+2s+13 b. s(s+1)(s+2)…
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Q: Find the solution of the Initial Value Problem given below by using the Laplace transform methad.…
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Q: 4s – 9 - F(S) %3D 4s² – 16s + 9
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Q: 2) Solve the difference equation using z-transform yk+2 - 3 yk+1 + 2 yk = 0, with yo = 0, y, = 1.…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: 1. Given: [(4x + 3)²D² - 12(4x + 3)Dx + 64]y = 16[(4x + 3)² sec² (In|4x + 3)], what special case is…
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Q: Find the inverse Laplace transform 01 2 Ou44(1-4) usinh(t — 4) O sinh4(1-4) 0 1 u4cosh4(1-4) 01 4…
A: Given problem:- Find L-1e-4ss2-16
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- Using Laplace transform solve the initial value problem: y''+4y'-5y=e2t , y(0)=1, y'(0)=-1Using Laplace transform, How would I solve the given initial-value problem dy/dt + 7y = u2(t), y(0)=3 Thank you for the helpSolve the shifted data IVP by the Laplace transform method showing your work in details. y"+3y'-4y=6e2t-6 y(3)=4, y'(3)=5
- Solve the following initial value problem by using the Laplace Transform method. y'' − y' = ex, y(0)=0, y'(0)=0 [Show all the steps except the lengthy steps of finding the partial fraction of the Laplace transform of the solution function. But, display the partial fractioned form in your writing. Use the Laplace Transform table linked here. laplace_table. For partial fraction, use this.]Solve the initial value problem using Laplace Transform of: y'' - 3y'+10y = e-2t when y(0)=0, y'(0)=1Sole the nonhomogeneous linear system using the Laplace Transform (or any method you like) using the given initial conditions.
- y'''-4y = et + t, y(0) = y'(0) = y''(0) = 0Laplace Transform to solve for IVPSuppose U solves the heat equation on the real lineUt = 4Uxx, x ∈ Rwith initial valueU(x, 0) = (4, x ≤ 02, x > 0.(i) Use the Fourier-Poisson formula to give an explicit expression for the solutionU.(ii) Describe the qualitative behaviour of U in this case as t → ∞ and plot outthe solution at several instants of time to explain your answer. What is the limitof U as t → ∞?Use laplace transform to solve the initial value problem; a) y''+y=alpha(t-1/2pi)+alpha(t-3/2pi), y(0)=0,y'(0)=0
- Solve the initial value problem using the method of Laplace transforms. Show the complete solution (typewritten as much as possible). y'' + y = 4sint + 6cost; y(0) = -6, y'(0) = 2Use the Laplace transform to solve the initial value problem. y''+6y'+34y=136, y(0)=3, y'(0)=0 What is the Laplace transform Y(s) of the solution? The actual solution is obtained by first using the partial fracture development and then inverse conversion. What is the solution y(t)?Laplace under initial conditions x '+ y' + x= 0 and x '+ 2y' = 1 equation system x(0) = y (0) = 0Solve using the transform.