1. Find the Laplace transform of eat and 1 for t is greater than or equal to zero.

Q: 12. f(t) = 3t5/2 – 4t3

A:

Q: Find the inverse Laplace transform of F(s) 4 S-2 + 7s - 18 s² +9

A:

Q: Find the inverse Laplace transform of the following functions (a). F(s) 2 = s²+3s-4 2s+4 (b). F(s) =…

A: To solve the given problems, we need to find the inverse Laplace transform of the given functions.…

Q: 6. Find the inverse Laplace transform of the function (3²-²)(as + b) I(s) = (s² + a²) (s² + 3²)

A:

Q: Use the table of Laplace transforms to find the inverse Laplace transform of 2s - 4 s² - 4s + 13…

A: In the given question we have to find the Laplace inverse of the function F(s).

Q: Determine the Laplace transform of  function Q f(t)=eat, wherea is constant

A:

Q: 3. Find the inverse Laplace transform of F(s) = 180+18,²+354

A: Applying this to each term:  So, the inverse Laplace transform of F(s) is: f(t)=4t6​+43​t4+23​t2…

Q: d.-tte-6c 3

A:

Q: Find the inverse Laplace transform of the function G(s) = as + b s² +82 .a = = 4, b=9, ß = 9.

A: We have to find the inverse Laplace transform of the function  G(s)=as+bs2+β2.a where a=4 , b=9 ,β=9…

Q: Find the laplace transform of the following function f(t) = 58(t-7)

A: