What is the Laplace transform, Y(s) for 3y" + 2y'-y 5 where y(0) = y'(0) = 0? %3D a. (3s-1)(#+1) b. (3s+1)(-1) C. s(3s+1)(s-1) d. s(3s-1)(s+1) e. None of the above

Q: xn-1 ax

A:

Q: Use the Laplace transform to solve the initial value problem y'" + y' – 2y = 2e*, y(0) - - 1, y'(0)…

A:

Q: 3 Laplace Transform of (sin(2s))³

A: Given:

Q: What is the Laplace transform of y’’ – 6y’ + 15y = 2 sin (3t), with y(0) = -1 and y’(0) = 4

A:

Q: SOLVE FOR INVERSE LAPLACE TRANSFORM 3s + 2 4s2 + 12s + 9

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

Q: Solve the equation dy y ху-з dx II +

A: The given equation is of the bernoulli's equation form.

Q: By using Laplace transform to solve y - y = sin(2t) with y (0) = 1, what would the particular…

A: The solution is given as

Q: kado/4 Find the Laplace transform for -4 f() = e'sin2t + e cost s + 1 2 s+1 s + 2s + 5 s- 2s + 2 (s-…

A:

Q: The general solution of the initial value problem given below is the "Laplace Transform". find using

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

Q: Consider the IVP y''-y'=-30e3tcos(t), with y(0)=1, y'(0)=-12. Take the Laplace transform of both…

A:

Q: SOLVE FOR INVERSE LAPLACE TRANSFORM 6s – 4 - s2 4s + 20

A:

Q: 5) Evaluate te " cos 3tdt using Laplace Transform! -4t

A:

Q: 1 Find the Inverse Laplace Transform of s2+2s+ 10 -'cos3t B -Isin9t 3 cost 9 -'sin3t (D 3

A:

Q: What is the value A 4B for Y(a)= which is Laplace transform of the solution of initial value 16…

A:

Q: 2 The inverse Laplace transform by using integral of transform s(s2 +2s+4)

A:

Q: 2) There is a function F (s) with "different true root state". Make the inverse laplace transform of…

A:

Q: Using Laplace transform, solve dy a + 6y = 3sin(2t) with y(0) = 1 and determine y(1) in 4 decimal…

A:

Q: If y " +3y + 9y = 6e-8t, y (0) = 0, y (0) = 5 what is the Laplace transform of y? 6. s2 +3s+9…

A:

Q: I have not yet been taught Laplace Transform by my lecturer, I believe. Isn't there another way…

A:

Q: Consider the IVP: y" - y' + 2y = 8sin(2t) - 8, with y(0) = -2, y'(0) = -4. Solve the IVP by using…

A: Given IVP is y''-y'+2y=8sin2t-8              (i) With y0=-2, y'0=-4 Taking Laplace transformation of…

Q: What is the Laplace transform of f (t) = e2" (sin 2t – 1)? 16s 16 s6s2 +16s12 6s 16 s 6s2+16s 16 16s…

A:

Q: || > 1 {e*cos(x), x|< 1 30. f(x) = {0, %3D Does this function have a Fourier transform (i.e., does…

A: Given fx=excosx, x&lt;1. As it is known that Fourier Transform of fx exists if the function is…

Q: 1. Show that the function 2t et cos (et“) is not of exponential order, however its Laplace transform

A:

Q: 4) f(t) = [ Hu(t-IT) Jun (6) fœ

A: Laplace transform of the function

Q: Answer with either True or False. 1. If z = 1 – x – -y² then at the point (0, – ÷ -). =- (0.-)- 2.…

A:

Q: 2) Sólvé thẻ điffèréncé équation using z-transform yk+2 - 3 Yk+1 + 2 Yk 0, with yo = 0, y, = 1.…

A:

Q: y' = 8x x(0) = 1 %3D x' = 2y y(0) = 0 %3D

A:

Q: Inverse Laplace transform of s2+9 is given by O cosh(3t) O cos(9t) O cos(3t) O sin(3t)

A: Find the inverse Laplace transform of ss2+9 we know that L-1ss2+a2=cosat

Q: 2T (-1Y- Find f(x) if its finite sine transform is given by f, (p) = where 0<x < T. -, p = 1, 2, 3,…

A:

Q: 5. If the Laplace transform of f(t) find F(4s)

A:

Q: [a² - x², Find the Fourier transform of f(x)= • 0, and hence 1C. |x| > a evaluate (Sin sint-t cost…

A:

Q: ) Solve the following initial value problem by using Laplace transform. y" + 4y = 4t + 12, y(0) = 4,…

A:

Q: VE cos(3f). find the Laplace transform of %3D

A: Laplace transformation is a method used for obtaining the solution of a complex differential…

Q: 1 Find the Inverse Laplace Transform of s2+2s+ 10 (A -e "cos3t 3 1 B -e -'sin9t 3 3r -e"cost D -e…

A:

Q: What is the inverse Laplace transform of Y (s) = (4s + 4)/ (s2 + 4s + 13)

A:

Q: By using Laplace transform to solve y" + 4y + 8y = sint with y (0) = 1 and y' (0) = 0, what would be…

A:

Q: find the Laplace transform of (sinx - cosx)² O (s² - 2s + 4)/s(s+ 4) (s² + 2s + 4)/s (s² - 4) O (s²…

A:

Q: 2. Solve using Laplace transform for y( y" + 4y' + 6y = 1- e-t, y(0) = 0

A: Given,          y''+4y'+6y=1-e-t, y(0)=0, y'(0)=0

Q: By applying inverse Laplace Transform, we get > y(x) = L-1ſ _2s² + 2 Is²(s² + 5). L={ } - L{4 ++}…

A:

Q: By using Laplace transform to solve y' +4y +8y = sint with y (0) = 1 and y (0) = 0, what would be…

A:

Q: * Find the Laplace transform for -4 f(t) = e'sin2t + e'cost S s + 1 + 2 s¯ + 1 s* + 2s + 5 s - 2s +…

A:

Q: 4s – 9 - F(S) %3D 4s² – 16s + 9

A:

Q: 4. Use the dilation principle to find the Laplace transform of 1- cos 5t cos t given L{- In g² +1 t

A: We want to find Laplace transform of 1 - cos5tt Given L1 - costt = 12lns2s2+1

Q: 9. Find the mverse laplace transform of system function HS) = for 3 cases of ROCs when- s45s+6 (1)…

A: Consider the given function. Hs=1s2+5s+6 Find the factor of the denominator.…

Q: Find the Inverse Laplace Transform 11s – 2s +5 2s3 – 3s2 – 3s + 2 |

A: Given Inverse Laplace Transform isL-111s2-2s+52s3-3s2-3s+2The Inverse Laplace Transform is…

Q: 7s Inverse Laplace transform of is given by s2-9 O 7 cosh(3t) O 7 sinh(3t) O 7 cos(9t) O 7 cos(-3t)

A:

Q: (b) Using Laplace transform, evaluate te -2t Cos 2t dt 0.

A:

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: Solve for the inverse Laplace transform of O 4cos at - 3 sin at 4 sin at – 3 cos at 3cos at - 4 sin…

A: It is known that: L-1a·fs+b·gs=a·L-1fs+b·L-1gsL-1ss2+a2=cosatL-1as2+a2=sin(at)