f(t) = e3t f(t) = t3 %3D

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: g(t) = t cosh 3t

A: Find the Laplace transform of the function             g(t)=t cosh(3t)

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: Problem 5 Using Laplace transform, solve y" - 4y + 7y = 0 y(0) = 3, y'(0) = 7

A:

Q: f (t) = e(-3t) sin(2t) cos(3t) cosh(t)

A:

Q: TT f(t) = 10 cos(t 6,

A:

Q: 2s2+5s-4 Find the inverse transform: F(s) s3+s2-2s A. 2 – et – 2e-2t C. 1+ 2et – e-2t B. 2 + et –…

A:

Q: L[t e-t sin 3t dt ]

A:

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

A:

Q: Find the Laplace transform

A:

Q: f(t) = cos(2t + 3) + e¬tu(t – 4) + tcosh²2t

A:

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

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

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

Q: cos 2t cos 5t S³ +29 (s²+49) (s² +9) Option 3 None of the Choices S³ + 29 (8² +49) (s²-9) Option 4 S…

A: The solution is given as

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: 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: f(t) = [1 – u2m(t)](2 sin t – sin 2t) |

A: