Written homework #5.
Problem #1: Find the general solution of the following system of equations and describe the behavior of the solution
as t ! 1. Plot a few trajectories of this system.
Problem #2: Find the general solution of the following system of equations and describe the behavior of the solution as t ! 1. Plot a few trajectories of this system.
Problem #3: Find the solution of the following initial value problem and describe the behavior of the solution as
Problem #4: Find the general solution of the following system of equations and describe the behavior of the solution as t ! 1. Plot a few trajectories of this system.
Problem #5: Find the Laplace transform of the function f(t) = 4e
Problem #6: Find the inverse Laplace transform of the function F(s) =
5e
Problem #7: Find the inverse Laplace transform of the function F(s) =
Problem #8: Use the Laplace transform to solve the following initial value problem.
Problem #9: Use the Laplace transform to solve the following initial value problem.
Problem #10: Use the Laplace transform to solve the following initial value problem.
Problem #11: Use the Laplace transform to solve the following initial value problem.
