B: The Laplace transform of the; f(t) = e-t.sinh 3t

Q: S F(s) = (s+5)6

A: Use partial fractions to split the function then use laplace table.

Q: Q2: find the laplace transform for the: y = e-*, x.cos2x

A:

Q: Find the Laplace transform of f(t) t sin(2t) dr F(s) =

A: We use the table of Laplace transform to solve the given question.

Q: Find the Laplace Transform 1.f(t)=(sint-cost)?

A:

Q: Find the Laplace Transform of f(t) = cos? 3t

A:

Q: Find the Laplace transform of the function f (t) e2t = e2t using direct integration.

A:

Q: * Q5- Find the Laplace transform for f(t) = ( e5t + sin t )²

A:

Q: Find the Laplace transform of: f (t) = cos? 2t

A:

Q: 5. What is the Laplace Transform of f(t) = t° cos h 2t? (42) b) 3/

A:

Q: 3 find The Laplace transform f(t) = sint

A:

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

A:

Q: With all initial conditions equal to zero, what is the Laplace transform of y(t) in -2) + 2y (t) =…

A: So:- y'' +2y' +2y=HtTake Laplace transform of both sides of the equationLy'' +2y'…

Q: Find the Laplace transform of f(t) = cos(2t) * u

A:

Q: f(t)= 5 cos? 2t

A:

Q: Find the laplace transform of f (t) = t'e" sin 2t

A:

Q: What is the initial value of f(t) if its Laplace transform is 5-2? 2s(s+2)

A: To Find: The initial value of f(t) if its Laplace transform is s-22ss+2

Q: Solve for the Laplace transform of the function below: sin t, 0<t < T f(t) = [o,

A:

Q: Q:A. Find the Laplace transform of (2) f(t) = te-cos2t

A: We have to find the Laplace transform of f(t)=te-3tcos2t

Q: The Laplace transform of f (t) = e2t sin(7t) + te¯3t is %3D

A:

Q: 4. Solve for Laplace transform of f(t) = t^5 using long method

A: This question is based on Laplace transform formula.

Q: - Use the definition to find the Laplace Transform of: f(t) = 4 t. %D

A:

Q: L{t + e=2t}

A:

Q: 3) Find the Laplace transform of h(t) = etv sin v du.

A:

Q: Q3: Find the Laplace Transform L÷ (1- cos at)

A: Laplace transferom

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

A:

Q: se the Convolution Theorem to find the Laplace Transform of f (t) = S, et-T sin 2rdT.

A:

Q: 6. Solve for the Laplace transform of f(t) = t^2 using the long method

A: Given that: f(t)=t2

Q: 5. Find the Laplace transform of : f(t)= 5 cos? 2t.

A:

Q: C. Obtain the Laplace Transform of L{e¬2x + 4e¬3x}

A: Laplace Transform:   The Laplace transform provides an effective tool or way of solving…

Q: Q1: find the Laplace transform of the following? dy dt ди( у,1) 2 ди(у,1) ây 3

A: The Laplace transform of ft isLft=∫0∞fte-stdt∴Ldydt=∫0∞dydte-stdt             =e-st.y0∞-∫0∞e-st-sy…

Q: . f (t) = 2 cosh 3t

A:

Q: nd the Laplace Transform of f(t) = t³ if 1<t< 2 , and f(t) = 0 otherwise.

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Q: f(t)=e'(4 e2" + 5)?.

A:

Q: Solve for the Laplace Transform of f(t) = t²sin 2t

A:

Q: The Laplace transform of f (t) = e* sin(5x) + te 2t is:

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

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

A:

Q: What is the Laplace transform of x (t) = e^- t cosπt ? Select one:

A:

Q: f(t) = cos (2t)

A: To find the Laplace transform of the given function ft=cos22t

Q: What is the laplace transform of f(t) = e5tsint?

A:

Q: find the Laplace transform of g(t)= (1-e^t)/t

A:

Q: Q1/ Find the Laplace transform of 1- f (t) = t² e cos 3t -2 x

A:

Q: Find the Laplace transform of f(t) = t cosh 2tsinh 3t.

A: To find the Laplace transform of ft=t cosh2t sinh3t.

Q: (a) Find the Laplace transform of f(t) = te2" sin(2t). %3D

A:

Q: Find the Laplace Transform 2.f(t) = sin h 3t + cosh 3t - 2t3

A:

Q: (b) Find the Laplace transform of the integral s[ (u cos 3u) du 8 F6

A:

Q: t² - te' +e"cost 4t

A:

Q: 2. Solve for the Laplace transform of f(t) = 5 using the long method

A: A detailed solution is given below

Q: Q1 Calculate the Laplace Transform of the following functions. (a) (b) (c) 2t* - e-4t (1 - e-)2 e-…

A: We have to solve