Question

H) Find the inverse Laplace transforms of the equation. When the X(s) =1 /(s²+9s+20)​

Answer 1

e^-4t e^-5t

Step-by-step explanation:

solving s²+9s+20 quadratically we have (s+4)(s+5)

x(s) can be written as x(s) =(1/s+4)(1/s+5)

if we take the laplace inversve

L-¹ (s)=L-1(1/s+4) L-1(1/s+5)

we have e^-4t e^-5t