0 h. f(t) = 2t - 1 5-t t i. f(t) = {1²- j. f(t)= 0 cos 2t 0 t<1 1 2 t<1 t> 1 t<0 0 π/2

Q: -7 s(s+3) 2

A: Given: L-1-7SS+72

Q: 2(s-3) L-1 s²–6s+13) (ix) 3s+2 (x) L- (s2-8s+25)

A:

Q: 8. (a) 2e' (cos 3t – 3 sin 3t) (b) 3e-2 (sinh 2t – 2 cosh 2t)

A: Given functions: (a) 2etcos3t-3sin3t (b) 3e-2tsinh2t-2cosh2t   We know that,…

Q: Determine the transform of the following functions using any methods. 2 3 + t2 3

A: Let ft=14t2-23t3+t32 Taking Laplace Transform both sides and using the fact that it is linear , we…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: 2 5) L-1 (s – 2)³. s+2 6) L-1, ls² + 4s + 13)

A:

Q: 128 (S+125)²

A: ℒ-1Fs-a=eatft We have to find the inverse LaPlace transform of -128s+1252

Q: Find the inverse Laplace transform of the following function by using convolution theorem. :(&+2)*…

A:

Q: s+ 3 s2 – 2s + 5

A:

Q: Find the inverse Laplace transform of the following function. s² + s +1 S3 +8²-2 G(s) Your answer…

A:

Q: Derive the 1st Shifting Property from the defifinition of the Laplace transform.

A: First shifting property:If,

Q: The Inverse Laplace Transformation of the convolution of 2 functions is equal to the product of the…

A:

Q: (d) 2 s² +9 (e) s²-1 (s² + 1)² (f) 1 (s −2)² - 4

A: The given Laplace functions,(d) (e) (f) .The aim is to find the inverse Laplace transform for each…

Q: e at -e bt

A:

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

A:

Q: 3. (a) e' cost (b) 3e2' sin 21

A:

Q: 3. Find the inverse Laplace Transform of the g

A:

Q: Find Laplace transform of the function t2 Sint.

A: Find Laplace transform of the function t2 Sint.

Q: Second Shift Theorem 5. Find the inverse Laplace transform for the following expression by Second…

A:

Q: 1 (e-v5t – evZt V2t )

A: To find the Laplace transform of the below function.1te−5t−e−2t

Q: ind the Laplace transforms of the given functions.

A:

Q: Find L (t*ett)

A: You asked to find inverse Laplace transform.but your image is for Laplace transform.

Q: ind the invers

A: First we will find the value of the given integral: intsinf 1/[u2(u2+1)] du Then we will find the…