Math Assignment Help With Inverse Transforms Of Rational Functions

4.8 Inverse Transforms of Rational Functions

Let F(s) be a rational function of s. Inverse Laplace transform of F(s).

Example:

F(s) = (s + 1) (s + 3) find f(t)

s (s + 2) (s + 8)

Solution:

F(s) = 3 + 1 + 35

16s 1(s + 2) 48(s + 8)

Thus,

F(t) = 3 + 1 e^-2t 35 e^-8t

16 12 48

If F(s) = 4s + 3 find f(t)

s² + 2s + 5

<Solution: F(s) = 4 s + 1 - 1 2

(s + 1)² + 2² 2 (s + 1)² + 2²

Thus,

F(t) = 4e^-t cos(2t) – 1 e^-1 sin(2t)

F(s) = 3s + 4 find f(t)

(s + 1) (s² + 4s+ 4)

Email Based Assignment Help in Inverse Transforms Of Rational Functions

To Schedule an Inverse Transforms Of Rational Functions tutoring session Live chat
To submit Inverse Transforms Of Rational Functions assignment click here.

Following are some of the topics in Rational Function in which we provide help: