Let ft) be the inverse Laplace transform of 7s2 + 9s + 30 F(s) = (s2 + 4s + 5)(s – 5)" What is f(1/2)?

Q: Find the finite cosine transform of 1 – where 0<x< T.

A:

Q: Find the Laplace Transform of f () =2 sin a +3 cos 2z.

A: This is question of laplace transform . Solution is given below

Q: Question* The Laplace transform of f(t) = et-2 cos(2t-4) u(t- 2)-e-(cos(3t) - 1)

A:

Q: What is the Laplace transform of 2?

A:

Q: Find the laplace transform of (b) L-- [tan-" )]

A:

Q: Let Rt) be the inverse Laplace transform of 7s2 + 15s – 6 F(s) = (s? + 6s + 10)(s – 2) What is 3/2)?

A:

Q: The Laplace transform of f (t) = cos(2t) + 2e-3t + 3t? is: %3D

A: Note the following results : Lcos at=ss2+a2  Leat=1s-a Ltn=n!sn+1 ; n=1,2,3,…… Linearity property…

Q: Find the Laplace transform of f(t) = te *sin(2t). 4s + a Then you obtain F(s) = Please type in a =…

A: Given that ft=te−tsin2t We have to Laplace transform of ft=te−tsin2t that we have to find Lte−tsin2t…

Q: Find the inverse Laplace transform of the following function by using convolution theorem. :(&+2)*…

A:

Q: B: Find Laplace Transform of f(t)= cos3t By DEF.

A:

Q: What is the laplace transform of f(t) = cos t u(t-1)?

A:

Q: find the Laplace transform of {t^2cost}

A:

Q: Find the Laplace transform of t2 sin(3t) 18s-54 (s2+9)² 18s2-54 (s249) 30s2-54 (s2+9) 1252-54 (s2+9)

A:

Q: Find the Laplace transform of: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]?

A:

Q: Determine the Laplace transform of f(t) = e-3t sinh (2t) 2 s2 + 6s +5 s2 – 6s+5 s² + 6s+5 s2 – 6s +…

A: Use the following formulas to perform the Laplace transformation.  Leatft=Fs-aLsinhat=as2-a2

Q: Find the Z transform of [cos (ax), x20 f(x)=: 0, x<0

A: Given, fx=cosax,x≥00,x&lt;0 As we know that, Ze-ax=1+e-aτ+e-2τz-2+...=11-e-aτz-1=zz-e-aτ

Q: What is the Laplace Transform of f(t)=Dv((1-cos(8t))/2)? O s/(s^2+16) O 4/(s^2+16) O 4/(s^2-16)…

A:

Q: f(t) = 2t + 5et – sin 5t -

A: Given:  ft=2t3+5e4t-sin 5t To Find: The Laplace transform

Q: Give the Laplace transform of f(x) = {₂-2, 3 ≤ x I x², 0<x<3

A:

Q: Find the Laplace Transform of (Non-anonymous questionO) f(t) = 2e3t sin 2t – 3e3t cos 2t -

A:

Q: Determine the Laplace Transform of est cos 5t .

A:

Q: What is the Laplace transform for the function: x(t) = 9sin(5t) + 10cos(10t). %3D X(s) =

A: Solution

Q: What is the transform of f(t) = tsint, A s(s² – 1) 2s (s²+ 1)² 1 s2(s? + 1 -2s D s(s?+ 1) B

A:

Q: What is the Laplace transform of x(t) = e-tcos(pi)t?

A: To find the Laplace transform of ,  x(t) = e-tcos πt Here the proof for standard form has been…

Q: Find the inverse Laplace transform of Y (s) = + 1(1 - e-**).

A:

Q: Find the inverse Laplace transform of F(s) s2 + 2s – 3 . (Use step(t-c) for u.(t) .)

A:

Q: 2 What is the Laplace transform of 2cos t?

A:

Q: Find the Laplace transform of 1. _ƒ(t) = ½ [1 − U2„(t)](2 sin t – sin 2t) - - 2

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

Q: What is the Laplace transform of: f(t)=5t+18+41²H(t-6)?

A: We have to find Laplace transform of given function.

Q: Find the Laplace transform of the function f(t) = 1.   And can you please explain each step to…

A: Given function is: ft=1 Ton finds the Laplace transform of the given function.

Q: If f (t) = ) = CoS ( 4t what is 6 the laplace transform of f (t) ?

A:

Q: Determine the Laplace transform of f (t) = sin(3t) + 5e 2t O 13/(s^2 +9)]-[5/(s+2)] O 13/(s^2+ 9)] +…

A: Given function is ft=sin3t+5e-2t The Laplace Transform of f(t) is determined below.

Q: * - 10x + 9x = 5t, x(0) = -1, x(0) = 2

A:

Q: (b) Find the z-transform of f(-÷)` ux given that Z{ux} z-1

A: Z transform of the function

Q: (a) By making appropriate use of Jordan's lemma, find the Fourier transform of T³ f(x) = (x² + 1)²*

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: Find the finite cosine transform of f (x) if ƒ (x) = -x+ in (0, t).

A:

Q: Give the Laplace transform of -2x 0Sx and x < 3 f(x) = 4 3<x -3s 27 20 O F(s) = -- b) O F(s) = - -3s…

A: Solution :-

Q: x (n) = sin лn u (n)?

A:

Q: Which is the correct inverse Laplace transform of U (s)=+ O u(t) = 6t + sinh(4t) + cosh(4t) %3D O u…

A: Recall:  L-11sn=tn-1(n-1)! L-1ss2+a2=cos at L-11s2+a2=1asin at

Q: ={*, 0st< 2 t2 2 is. The Laplace transform of f(t) = %3D

A: In this question we have to find the laplace transform which we can easily find out by using the…

Q: Calculate the Laplace transform of f(t) = 2 cos(3t)

A: The given function is ft=2 cos3t.

Q: 1. Prove the scale change theorem on the Laplace transform, that L[f9) = aF (as)

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: Find the Laplace transform of e-2t(sinh(2t))2.

A:

Q: The inverse Laplace transform of F(s) = is O 3t3 O 3t

A:

Q: Use Laplace transform to solve the ODE. y"- 4y +3y - Bsinst, y(0)= 0, y'(0)-3

A:

Q: Prove that the Laplace Transform of ´cos(bt) is S-a (s-a)° +b² Please show your solution clearly.

A:

Q: 4. Derive the inverse Laplace transform of: 1 F(s) = s(s? + w?) %3D

A:

Q: Find the Laplace transform of f(t) = te-t from the definition.

A: Here we use the definition of lapses transformation.