Written homework #5.Problem #1: Find the general solution of the following system of equations and describe the behavior of the solutionas 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 asProblem #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) = 4eProblem #6: Find the inverse Laplace transform of the function F(s) =5eProblem #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.
