- 3t +2 (b) 24 2. (a) 15

Q: Find the Laplace transform of the following 2. 2y+3y" - 23y' - 12y = 5t-7, y(0) = 0, y'(0) = 0, y"…

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

A:

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: 1 Determine the Laplace transforms of the following functions.

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

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Q: 1. (a) 2t – 3 (b) 5t²+41 – 3

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

A:

Q: 2.

A: The solution is given as

Q: 2 Determine the Laplace transform of f(t)-te"sin(3t) s-4 a. (s²-3s+5)² 6s-12 b. (s²-2s-6)² s-4 C.…

A: Given function is f(t) = te2tsin(3t)

Q: Find the Laplace transform of 3e-7t.

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Q: Solve the laplace transforms given t=0 and e=Dandx=1

A: See the solution in the given fig.

Q: Q3. a) Use the supplied Table of Laplace Transforms to find Laplace transforms of: - i) f(t) = t?e-t…

A: Given: (i). ft=t2e-3t (ii) ft=3+cos4t

Q: 3. (а) 5е () 2е 21 -2t

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

Q: 2y" +3y' – 2y = te*, y(0)= 0, y'(0)=-2

A:

Q: Determine the Laplace transform of y’’ given y (0) = 4 and y’(0) = 2

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Q: Find the Laplace transform of 0st<1 f(t) = {2 - t, 1st<2 2 <t

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Q: 2) Using Laplace Transforms, solve the following initial value problem y" - 4y' - 5y = cosh(2t),…

A: Solution

Q: Determine the Laplace transform of the equation f (x) = 2e-"sin4t 16 A s2+ 4s + 20 20 B s2+ 4s + 20…

A:

Q: Find the inverse Laplace transforms of F(s)=(5s + 2)/(s^2+6s + 13)

A: to find the inverse Laplace of the function proceed as follows Fs=5s+2s2+6s+13 make the partial…

Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 1) L-1…

A: Given problem:- Find  L-1[(-3s2 -12s-8)/(s+2)3]

Q: 2. Determine the inverse Laplace transforms of the followings: (a) L-1 s2+2s – 3 4s - 3 (b) L-1 s2…

A: Laplace Transform: The Laplace transform is defined byℒf(t)(s)=∫0∞f(t)e-stdtwhere f(t) is defined…

Q: Find the Laplace transform of the following: 2y+3y"-23y - 12y = 5t-7, y(0) = 0, y'(0) = 0, y" (0) =…

A:

Q: (b) 5t²+41 – 3

A: To determine the Laplace transform of the function: f(t)=5t2+4t-3 Note that: Ltn=n!sn+1

Q: -2sin4t Determine the Laplace transform of the equation f (x) = 2 e´ 10 A s²+4s+20 8 B s²+4s+ 20 20…

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Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s2-12s-8] L-1 1)…

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Q: 12. Evaluate the inverse Laplace transform of a. 10e-5t b. 10e-t C. 10e-50t d. 10te-50t 10 S+50

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Q: Ive the given IVP using Laplace transforms. "-7x'- 8x = 0 x(0) = 1, x'(0) = -3

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Q: 3. Find the laplace transforms of f(t) = ¹e²t sin(2t) 2t 4

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Q: If the Laplace transform of x3/2 is then the Laplace transform of t3/2e 4s5/21

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Q: Find the Laplace transform of (t-2)2et-1u(t-2)

A: Using the properties of the Laplace transformation, it can be written that:…

Q: Please solve this differential equation question. thanks!

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Q: Find the Laplace transforms of f(t) = e(3t-7) cos3(6t).

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Q: 3. Determine the inverse Laplace transforms. (-2s + 5) -5s – 20 (b) f(t) = L ' 1(s² + 4) (s + 1) ]…

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Q: (a)Find the inverse Laplace transforms of F(s) = -2s3+9s²+88–12 %3D (b)Using the definition of the…

A: To find the inverse Laplace transform of the below function.

Q: 2. Determine the inverse Laplace transforms of the followings: 5 (a) L- 1 $²+2s-3 4s - 3 (b) L-1 s²…

A:

Q: find the Laplace Transform.  1. (t-1)4 2. e-2t-5

A: Use Basic Formulae in Laplace Transform to find result by following way.

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

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

Q: 2. Find the Laplace Transform of f(t) = 3 – 2t2 + 5e-2t – 4sinh3t а.

A: We have to find the Laplace transform of the given equation  f(t)=3-2t2+5e-2t-4sinh3t

Q: 1 (² 1

A:

Q: e3t (42 + 4)

A: To find : The Laplace  Transform of   e3t ( t2 + 4 )

Q: Find the Laplace Transform of (3t + 4e-2t)

A:

Q: Q3: Find the solution of the Laplace transforms of the following functions: L-1 ¹ [-35 -3s2-12s-87…

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Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

A: Let's find inverse laplace 9f given function.

Q: 3. (а) 5е (b) 2е 21

A:

Q: Find the laplace transform of f (t) = 2t1 – 3et + 10 cos 2t %3D

A: We will use property and tables of laplace transformation

Q: Find the laplace transform of F(s) = (s ^ 2 + 5s + 19)/((s ^ 2 + 4)(s ^ 2 + 9))

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Q: 4. Find the Laplace transforms of a) Sinh 3t cos²t | cos (t-2n/3), b) t > 2t/3 14, c) t'e'sin6t. t <…

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Q: A) Find the Laplace transform of (2 03

A: We have to solve given Questions.

Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

A: Let's find laplace inverse of given function.