Purchase Solution

Green's function using Laplace

Not what you're looking for?

Ask Custom Question

I would like help with the step's to solve the system, I have three parts:
x' + x = f(t) using Green's function

Given for the force f(t) = ?(t) with the initial condition x(t = 0) = 0.

(a) Using the method of Laplace transformation, determine G(s).
(b) Determine G(t).
(c) Using the Greenâ??s function G(t), determine the system response for f(t) = U(tâ?'1)
where U is the Heaviside

Purchase this Solution
Solution Summary

This solution helps with a problem regarding Green's function using Laplace.

Solution Preview

Hello and thank you for posting your question to Brainmass.

The solution is attached below in two files. the files are identical in content, only ...

Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

View More Free Quizzes
Related BrainMass Solutions

  • PDE with Time-Dependent Domain

    b) Calculate the appropriate Green's function for the problem in x, t variables and rederive the solution using this. This problem is taken from Partial Differential Equations: Analytical Solution Techniques, by J. Kevorkian.

  • Green's Function and Spherical Harmonics

    This solution shows how Green's Function and the Spherical Harmonics Expansion are equivalent.

  • Green's Function for a Differential Equation

    The expert examines Green's function for a differential equation. The Fourier's transformation is given.

  • Green's Function

    How would one find this new Green s function u (a) = 0 using the work from part (a)? Find it. Please see the attached file for the full solution. Thanks for using BrainMass. The Green's function for an operator is found and discussed.

  • Green's Functions, Wave Equation, Heaviside Function and Neumann Boundary Condition

    Thanks for using BrainMass. Green's Functions, Wave Equation, Heaviside Function and Neumann Boundary Condition are investigated. The solution is detailed and well presented.

  • Eigenvalues, eigenfunctions and modified Green's function.

    (b) Find the modified Green's function when λ = 0. keywords: Greens Please see the attached file for the complete solution. Thanks for using BrainMass. Eigenvalues, eigenfunctions and modified Green's function are investigated.

  • Using Green's function to solve Poisson's equation

    589806 Using Green's function to solve Poisson's equation This solution addresses a problem on how to relate a Poisson's equation and the Green's function.

  • Inverse Laplace transform

    211712 Find the inverse Laplace transform of the function Please show all steps to solution. Find the inverse Laplace transform of the function , using the convolution property of Laplace transforms.

  • Important information about Green's Function

    Solve the initial problem using a Green's function approach. What happens to y, y' and y'' at x=3? see attachment This solution helps with a nonhomogeneous linear initial value problem.

View More Related Solutions