Inverse Laplace transform

Nannie Mack
2021-09-12
Answered

Inverse Laplace transform

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davonliefI

Answered 2021-09-13
Author has **79** answers

Step 1

Here,

Step 2

Take the partial fraction of f(s)

Step 3

Comparing coefficients of s

Comparing constant terms.

So, function will be,

Step 4

Solving first part.

Step 5

Solving second part.

Step 6

Determine inverse laplace of the function.

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Need some hints how to solve the following differential equation

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Let $g\left(x\right)={\int}_{0}^{x}f\left(t\right)dt$ where f is the function whose graph is shown in the figure.

(a) Estimate g(0), g(2), g(4), g(6), and g(8).

(b) Find the largest open interval on which g is increasing. Find the largest open interval on which g is decreasing.

(c) Identify any extrema of g.

(d) Sketch a rough graph of g.

(a) Estimate g(0), g(2), g(4), g(6), and g(8).

(b) Find the largest open interval on which g is increasing. Find the largest open interval on which g is decreasing.

(c) Identify any extrema of g.

(d) Sketch a rough graph of g.