Explore BrainMass

Explore BrainMass

    Laplace transform and differential equations.

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Find the inverse Laplace transform of (s^3+s^2+2/s) / [s^2(s^2+3s+2)]

    Using this (or otherwise), Find the solution of the equation y"+3y'+2y = 1-t

    Find the transform of the following functions:

    f(t) = (1+t^2)[u(t-1)-u(t-2)] where u(t) is the unit step function.

    f(t) = sin(t) for 0<t<Pi and f(t)=0 for Pi<t<2*Pi

    © BrainMass Inc. brainmass.com November 24, 2022, 11:47 am ad1c9bdddf


    Solution Preview

    Please see the attached file.

    The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word XP Format, while the other is in Adobe pdf format. Therefore you can choose the format that is suitable to you.

    Let me suggest that you check out the following site:


    Homogeneous solution:

    Particular ...

    Solution Summary

    The solution shows how (among other things) to utilize partial fractions and inverse transform to solve a non-homogeneous differential equation.