Determine the Laplace transforms of * 3, 7 12

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

A:

Q: Find the sine transform of a function of x which is equal to sin x for 0 <x<a and 0 for x2a.

A:

Q: f(t) = SO if 0 c where c> 0.

A: We have to solve given problem:

Q: Find the Fourier transform of f if (e* jkax > 0 * ikax<0 Note : jika = if

A:

Q: 1. Let F : L² (R¹) → L²(R¹) be the Fourier transform. That is: 1 F(f) = = √e-i(+1) e-i(x,x) f(x) dx.…

A: Problem is solved using concept of Fourier Transform.

Q: L{e2"sin2t + etcos3t}

A:

Q: L [3²+ 3s 5² +45+13 २ ·]

A:

Q: If * represents convolution, determine the Laplace transform of f(t) = 12t * e-3t

A:

Q: бу"" + 5у" + у'%3D0 У (0) %3D — 2, у' (0)%3 2, у" (0) 3D 0

A: We have 6y'''+5y''+y'=0 with initial conditions y0=-2, y'0=2, y''0=0 Now, apply Laplace transform on…

Q: Determine the inverse Laplace transform of F(s) %3D O le^(9t)] - [5e^(4t)] O le^(9t)] + [5e^(4t)] O…

A:

Q: Find the laplace transform of the following. 1-) f(t) 3 3U(+) + = 2.) fl+] 3.) h(t) = + 8(+-2) +…

A:

Q: The Z-Transform of X(z) =5 (2^n)(u-2) is 5z/(z-2) True False

A: We're going to solve

Q: Evaluate (1+¹/2 - 10+3/2) dt using the Fundamental Theorem of Calculus, Part 2. 15 [¹³ (1t1¹/²2 -…

A:

Q: Determine The Fourier transform of the following function (2 |t| t/2 f(t) =

A: Fourier transformation of the function f(t): Fourier transformation of the function f(t) is given…

Q: 1 5. Find L s*-81

A: First we split by partial fraction and then apply the laplace transform.

Q: 1 If the Laplace transform of ewt is , the Laplace transform of t coshtis S-W

A:

Q: If g(t) has Fourier Transform G(), show that g (t) has transform G (-a).+

A:

Q: do the inverse laplace transforms of the rational function F(s)=(s-2)/s(s^2 -4s+8)

A:

Q: Transform * y = 3sinh (3t) 3 s² +9 3 s² - 9 OA) O B) Transform * s² + 1 S³ + s OA) OB) 1 - sint 9 s²…

A:

Q: QI/ Determine the z-transform with ROC of the following. * x(n) = n [u(n) * (0.2)" u(n – 4)] |

A: Given equation is x(n)=n[u(n)*(0.2)nu(n-4)]                   (1) Let the Z-transform of x(n) is…

Q: Obtain the inverse Fourier transform of sen(4(w+2)) (w+2)(3-((w+2)) F(w) =

A: The given function is Simplify the expressions using partial fractionsMultiply both sides of the…

Q: 3. Find 4 {0 21 jucosudu } using the properties of Laplace transform.

A:

Q: 5) Use Laplace transform to solve the integrol epuation it f(t) = cost + (*- tau) e

A:

Q: f(t) = cos 5t – 3t² s4-6s2-30 s4-6s2-150 а. F(s) с. F(s) s5+25s3 5s3-6s²–150 s5+5s3 5s3-6s2-30 b.…

A: We need to find the Laplace transform of ft=cos 5t-3t2 That is we need to find Lcos 5t-3t2 Now,…

Q: Find Z-transform and ROC f x(n) = {1,2,−1,2,−1}

A: Given that: xn=1,2,-1,2,-1 The objective is to determine Z-transform and ROC. Let consider,…

Q: -at² - 2 @ Show: Sē jeate dt - 17€ е = a 2 -at 1 Find the Fourier Transform of f(t) = ē

A:

Q: Determine the Laplace transform o sin (8t + 붕). +64 -a +(a) #() +64 +64 O 43 #() 2+64 O 4v3 7+64…

A: We need to find Laplace transform of sin8t+116π Here we will us the following formulas-…

Q: Determine the Laplace transform of (1+2)' -e +sinht 3 -St te st

A:

Q: Find the la place Transfo F($) = t 2 Z F(t) = te

A:

Q: On the funchion FEs)- -8S+5 s +81

A: Here, in this problem inverse laplace of the function is to be determined. 2 different formula has…

Q: Compute the Laplace transform of (1) = e-³ u(x-4)

A: Consider the given function,The transformation rule is defined as,And,Now, find the value of .Use…

Q: 2) fece). (1-+*)* + + cos

A: