Question

I need help with the matlab code, thank you.

The purpose of this assignment is to illustrate one important difference between linear and nonlinear models of oscillating systems. In an undamped, unforced linear system, the period of a periodic solution depends only on system parameters and not on the initial conditions, but in a nonlinear system the period can depend on the initial conditions Consider the following nonlinear differential equation, which models the free, undamped motion of a block attached to a "hard" spring. (A hard spring is a spring which requires more force to stretch than a spring that obeys Hooke's Law.) " +0.2r30. a. Transform the second-order d.e. above into an equivalent system of first-order d.e Note: z means a raised to the third power, not the third derivative of r b. Use MATLAB's ode45 solver to generate a numerical solution of this system over the interval 0 t 12π for the following two sets of initial conditions. i, x(0) = 0.2, r"(0) = 0 ii. r(0)-1, r,(0)=0 c. Graph the two solutions on the same set of axes. Graph only r vs. t for each IVP; do not graph r'. Do not use the plotyy command. Be sure to label the axes. Include a title that contains your name and describes the graph, something like Numerical Solutions of "++0.2r3 by I. M. Smart. Note: To get " to appear in your title you will have to type in your MATLAB title command d. Based on your graph, which swolution appears to have the knger period

Answer 1