Evaluate using Laplace Transform: tcos 3t dt e-4t f(t) =

Q: Find the Laplace transform of the function

A: The Laplace transform of the function is represented as or , it is defined as , since the…

Q: If L{f"(t)} = arctan ), f(0) = 2 and f'(0) = 1, find L{f(t)}. %3D

A: Given - If ℒf''t = arctan12 , f0 = 2 and f'0 = 1  To find - ℒft       Formula used - ℒfnt = snFs -…

Q: s+7 s2-3s-10

A: If the Laplace transformation of the function: y(t) is Y(s), then it can be written that Ly(t)=Y(s)…

Q: 25 s3(s2 +4s+5)

A:

Q: f(t) = t2 cos 2t.

A:

Q: 2. t5/2 sinh 4t

A:

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

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Q: e at -e bt

A:

Q: Find the Laplace transform

A: Given,

Q: Find the Laplace transform of (cosht + 1)2.

A:

Q: (t – 1)* 24 24 12 4 1 24 24 12 4. O option 2 Option 1 24 - 24s- 12s2+ 4s° + s4 24 - 24s +12s2- 4s +…

A: Using Laplace Transform to Evaluate the Function (t-1)^4

Q: 3. x(t) = 3t7 + 8

A:

Q: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

Q: FIND THE INVERSE LAPLACE TRANSFORM

A:

Q: xt) t osh 3t sinh 3t + ws (ot - )

A: If f(t) is a function of t defined for all positive values of t. Then, the Laplace transform of the…

Q: Find L-1 (24) 3 2s-4

A: Answer

Q: 6s + 15 s >0 s2 + 25

A: The given function is    9s+15s2+25        s>0     we have to find inverse Laplace Transform of…

Q: Use th e first shift th eorem to find the Courier transform of

A: In the given question, concept of Fourier Transform is applied. Fourier Transform The Fourier…

Q: Find the Laplace transform of 1. f(t) = [1– Uz7(t)](2 sin t – sin 2t)

A: Given the function ft=121-u2πt2sin t-sin 2t  We will find the Laplace transform of ft

Q: Evaluate using Laplace Transform: tsin3 3t dt e-3t 00 f(t) ||

A: We have to apply the Laplace transform method.

Q: 1. x(t) = 3t5

A: Given Function: x(t)=3t5 constant multiplication property of Laplace Transform:…

Q: Evaluate using Laplace Transform: tsin3 3t dt e-3t f(t) = 0,

A: