4s2+s+1] L-1 s3+s

Q: Use appropriate algebra and the table of the Laplace transforms to find L-1{s/(s+2)*(s2+4)}…

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Q: Find the Inverse Laplace Transform of: 3s + 1 (s² – s – 2)(s² – 4s + 13) F(s) ublic A ou to \rotecti…

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Q: Use Laplace Transform to solve यु y=4e ーt %3D given ylo)= 2 and u lo) = -l

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Q: y+21+6 -3. ZHot=6

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Q: Determine the inverse Laplace transform of Fisi= (s+1)(s+2)

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Q: 2s-3 L-1 s2-4s+8

A: To solve this question first we simplyfy the given function and then use the inverse Laplace…

Q: Find the Inverse Laplace Transform of 1 s²-8s+25

A: The given function is 1s2-8s+25 completing squares 1s2-8s+25=1s2-8s+16+9=1s2-24s+42+9=1s-42+9

Q: 3. Use Laplace transform to solve the IVP y" + 9y = e', y(0) = 0, y'(0) = 0. %3D %3D

A: Laplace transferom, solve the intial value problem

Q: 2s-3 L-1 s2-3s+2.

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Q: Compute E(X) and Var(X) of Erlang(λ,n) using Laplace transform PLEASE AS detailed as possible

A: Laplace transform of Erlang(λ,n) is the probability generating function of the distribution.

Q: 2.

A: The solution is given as

Q: The Laplace transform of cosh(kt) is valid for O s> 0 O k>0 O s k

A: We have to find the correct condition. First we will find the Laplace transform of cosh(kt)  Here we…

Q: 3) x(t) te-at 1 4) x(s) = (Sta)2

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Q: 3. (а) 5е () 2е 21 -2t

A: We need to calculate the laplace transform of the given functions:

Q: 1 L-1 (s² + 1) (s² + 4s + 8) J

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Q: 2. Use Laplace transform properties to compute 2.1. {f(1 – e")du} -

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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: What is the Laplace transform of f(t) = (t^2)sinh(8t). %3D O (1024 + 48s^2)/(s^2+64)^3 O (1024 -…

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Q: Determine the Laplace Transform of 413e-4t O 24(s+3)5 O 24(s-3)5 O 24/(s-4)4 O 24/(s+4)4

A: We know, Laplace transform of tneat is Ltneat=n!(s-a)n+1

Q: Determine the Laplace transform of (t +2). 2+2 O 2+4s+4s O.4*+4s+1

A: The solution is given as

Q: Use Laplace transforms to solve the IVP y''+1=0, y(0)=1, y'(0)=1

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Q: 1 Find the inverse Laplace transform of X(s) = given ROC: -1<o<3. (s + 1)(s – 3) x(t) =

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Q: 4. The Laplace transform of 3 is O 1/3s O 3/s O 3/s^2 O 1/s оо

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Q: What will be the numerical coefficient of cos(V3t)etin the Inverse Laplace Transform of 3 s(s3-8) O…

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Q: Compute the Laplace transform s(t) + u6(t)te' If you don't get this in 2 tries, you can get

A: We have to find Laplace of given function:

Q: 3. Find the Fourier Transform of f(t) = 0, - osts0 le-at, osts ∞ a is positive constant

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Q: * Find the inverse Laplace transform for-5 1 F(S) S + 25 5 sin(5t) 1 sin(5t) 1 s O 0 خیار 3 sin(5t)…

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Q: The inverse laplace transform of Select one: True O False S s4 +4 is sintsinh (t)

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Q: Use the method of Laplace transforms to solve (O) 0 (0) 0.

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Q: (a) cosh² t

A: We need to calculate L(cosh2t)

Q: s+26 s2+3s-10

A: s+26s2+3s-10=s+261s2+3s-10=s+261s+5s-2=s+267s+5-s-2s+5s-2=s+2671s-2-1s+5=17ss-2+2671s-2-17ss+5-2671s…

Q: s²+6s+8 L-1 Ls4+8s2+16

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Q: L-1 s²+4s+8] s+8

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Q: Obtain inverse Laplace transform 1. (s+2)

A: Given expression is e-4s+23.

Q: The Laplace transform of (sin 5t cos 5t) is_ 1 10 6 [s2 + 10² . 1 10 2 s2 + 102 10 2 s2 – 102 1 10 3…

A: Suppose ft=sin 5t cos 5t We have to find the Laplace transform of ft

Q: 3. get) わ Fessa 2 2.

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Q: Find the laplace transform of [ 2/(s +1)]- [ 4/(s + 3) ].

A: If L[f(t)]=F(s), then f(t) is called inverse Laplace transform of F(s); f(t)=L-1[F(s)] Where;…

Q: Find the Z-transform for x(n) shown below * including ROC a(n) = (3)"sin(프n)u(n) |

A: It is given that, x(n)=13nsinπ4nu(n) The convolution property says that,   The z-transform of…

Q: Find the Laplace Transform 3 1- f(t) = 3t4 – 2 ti+ 6

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Q: [4s-3 L-1 s2+4]

A: We have to find Inverse Laplace Transform of given function using Following Formulae,

Q: 3s+16 L~1 (s2-s-6)

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Q: Determine the Laplace transform of (1+2)° -e* i) + sinht 3

A: Laplace transform of the function

Q: What is the Laplace transform of f(t) = (t^2)sinh(8t). %3D O (1024 + 48s^2)/(s^2 + 64)^3 O (1024 -…

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Q: 3. (а) 5е (b) 2е 21

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Q: 7. (a) cosh²t (b) 2 sinh² 20

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Q: Find the inverse Laplace transform of, 1+s 1+s2.

A: we have to find the Inverse Laplace of  1+s1+s2

Q: 5. The Laplace transform of t^3 * O 3/s^4 O 3/s*3 O 6/s^4 O 6/s*3

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Q: Please solve this Differential Equation question. Thank you!

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Q: Find the Laplace Transform of f -1 Osx<1 f(x) = 1 x21 2e-s 1 a. 2e-s 52 1 b. 2e-s 1 C. 2e-s 1 d. +

A: We find Laplace transform of given function