The solution of the inverse Laplace transforms is mathematically given as
<h3>What is the inverse Laplace transform?</h3>
1)
Generally, the equation for the function is mathematically given as

By Applying the Partial fractions method



Considers s^2 coefficient

Consider s coeffici ent

Putting these values into the previous equation

By taking Inverse Laplace Transforms


For B

By Applying Partial fractions method

at s=-1

at s=-4

at s^2 coefficient
1=A+C
A=1-C
A=7/9
inputting Variables into the Previous Equation

By taking Inverse Laplace Transforms

For C

Using the strategy of Partial Fractions


S=-1
10=(1-4+8) A
A=10/5
A=2
Consider constants
10=8 A+C
C=10-8 A
C=10-16
C=-6
Considers s^2 coefficient
0=A+B
B=-A
B=-2
inputting Variables into the Previous Equation

Inverse Laplace Transforms

Read more about Laplace Transforms
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