Find the Laplace Transform of the periodic function f(t) by using unit step functions. ( sin 2t, 0 2m Tくt<2π

Q: Determine the Laplace transform L{f(t)}(s) of the periodic function f(t) = 1, e-t, 0<t< 1 1<t < 2…

A: L{f(t)}(s)=s(1-e-(s+1))-s+1e-2s-e-sss+11-e-2s

Q: f(t) = 3e " cosh (In 21)

A:

Q: Find the Laplace Transform of the following using the definition via integration: F(t) = 5 sin 3t

A:

Q: Determine the initial value of c(t) where the Laplace transform of C(s) is given by: (4s +1) s(s +…

A:

Q: f(t) = cosh t cos 2t : f (s – 1)

A:

Q: Find the Laplace Transform of the following periodic functions 2) f)=4x² -t', (0<t<2z) Ans. F(s)=…

A:

Q: Find the Laplace Transform of f(t) = cos t u(t-1)

A: The given function is f (t) = cos (t) u (t – 1):   Find the Laplace transform of the given function.…

Q: Consider the following initial value problem, in which an input of large amplitude and short…

A:

Q: Find the Laplace transform of h (t) = 1.5 sin(3t – ) 2

A:

Q: Find the Laplace transform of the given function: f (t) = cos(3t) + e-4t + sin(2t) e 4t

A: Given

Q: cos

A:

Q: 2. Find the Laplace transform of the given function f(t) = 2t2 – 1+ te¬t cos(2t) +e ,-2t * sin(3t)…

A: Given that  To find the Laplace transformation of f(t)

Q: y(t) = 5e2t cos(3t) + te-3t %3D

A:

Q: Find the Laplace transform of the following periodic function? 0 < t < π π < t < 2π 1- f(t) = { cos…

A: Solution:

Q: . Find the Laplace transform of the function f(t) = 2t + 3 cos(3t) + 4 sin(3t)

A:

Q: find the Laplace transform of f (t). f(t)=te^-t sin^2t

A:

Q: Find the Laplace transform F(s)F(s) of the periodic function f(t)=|sin⁡(πt/3)| with f(t+3)=f(t)…

A: Consider the provided periodic function, ft=sinπt3 Since, the period of an absolute value of a sine…

Q: Find the Laplace transform of the given periodic function 0<t<1 f(t) 1<t< 2

A: Given ft=00&lt;t&lt;1t1&lt;t&lt;2

Q: Find the laplace transform of cos at using the formula £{ƒ (t)} = est f (t) dt. Hencefind the…

A:

Q: 3 3 e. f(t) 5 sin2t *cos2t e-'cos2t - 10

A:

Q: Solve the Laplace Transform of the equation f(t)= te²ᵗsint

A:

Q: 2. x(t) = e5t + cos 3t %3D

A:

Q: x(t) = (t² + 4)e2t – e-t cos t

A:

Q: Find the Laplace transform, F(s), of this function (5 points) f(t) = e-2t t cos 3t

A:

Q: Draw the graph of the periodic function 0<t<t t, f (t) = - 元ーt, T<t <2 Tt. # and find its Laplace…

A:

Q: 2s Prove that L(t sin t) (s²+1)2

A: Some Laplace transform formulae: L(tn f(t))=(-1)n F(n)(s) Where Fns denotes the 'n-th derivative '…

Q: Find the laplace transform for the equation f(x) = 2 e^-2t sin4t

A:

Q: Find the Laplace Transform of the given function. 3t sinh (4t) + 2t³e=t – 4e-3(2–t) – e' sin (2t –…

A:

Q: Find the Laplace transform of the following periodic function? 0 <t < t n <t < 2n cos t 1- f(t) = {…

A:

Q: f (t) = t(e-2t + sin at) a.

A:

Q: Find the Laplace transform of h (t) = 1.5 sin (3t – ;)

A:

Q: Q7. Find the Laplace transform of the periodic function f(t)= sin at for 0<t<¹ 0 for T @ -<t< @ 2π @

A: Sol:-

Q: Find the Laplace transform. f(t)=cos^2(2t)

A:

Q: 7. Find the Laplace transform of the function f (t) = 2t + 3 cos(3t) + 4 sin(3t)

A:

Q: /Find the Laplace Transform 2- f(t) = 5 sin 2t – 3 cos 2t

A:

Q: Find the Laplace transform of: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]² 2. f(t) = V1+ sin t + (6t)13 +…

A:

Q: Find the Laplace Transform of the following periodic function by using Unit Step function : f(t): 3,…

A: The given problem is to find the Laplace transform of the given unit step function, we have to use…

Q: Find the Laplace transform of e2t sin 5t.

A:

Q: Prove by conventional integration that the Laplace transform of the given function is equal to the…

A:

Q: Find the Laplace transform, F(s) of the function f(t) sin(2t)cos(2t) F(8) = s > 0

A: Given function is ft=sin2tcos2t We have to find the Laplace transform Fs of the given function. Use…

Q: Find the Laplace Transform of the following periodic functions 0<t<T -TS (1-e 4) f(t)= Ans. T<t< 2n…

A: Given the periodic function  f(t)={t       0&lt;t&lt;π0       π&lt;t&lt;2π

Q: Let g(t) = e2tU(t-2) + Sin(3t) U(t-1) By using the definition of the Laplace transform we find that…

A:

Q: Find the Laplace transform of f(t) = (1+ sin 2t cos 2t). %3|

A: Given: f(t)=(1+sin 2t cos 2t)

Q: Use the Laplace transform to find the solution of y"+Ay'+25 y=e'sin t for y'(0)=y(0)=1 & A=6. Then,…

A: The given problem is to solve the differential equation using Laplace transform with the given…

Q: Find the Laplace transform, F(s) of the function f(t) = – 9t* – 7 cos(2t), t> 0 - F(s) = ,8 > 0

A:

Q: Given this periodic function: f(t) =1 from 0<t<a and f(t) = 0 from a <t< 2a Solve for the Laplace…

A: Please find attachment for the details solution

Q: Find the Laplace transform of the periodic function defined by the triangular wave tla, 0St a, f(t)…

A:

Q: Find the Laplace Transform of the following periodic functions -a-e")- F(s) = 0<t<T -TS e 4) f(t) =…

A:

Q: Find the Laplace transform of the function f(t) = (1+e2")² –- 1

A: Simplify the function.

Q: Find the Laplace transform of the function g(t) = e“[4t + 5 cos(3t) + 6 sin(3t)]

A: