w7.1 This is a continuation Chapter 5, Section 1 , problems 22_() and 31_().
(a) Use the eigenvalue-eigenvector method of section 5.2 to generate the basis {x_(_())(1)(t),x_(_())(2)(t)} /bar ( for ) the general solution that the text tells you in 5.1.22.
(b) Use pplane to draw the phase portrait for this first order system along with the paramet/bar ( ric ) curve of the solution [x(t),y(t)]^(T) to the initial value problem in 31_(). Print out a screen shot of your work to hand in.
The system of Problem 22: x_(1)(0)=0,x_(2)(0)=5
x^(')=[[-3,2],[-3,4]]x;x_(1)=[[e^(3t)],[3e^(3t)]],x_(2)=[[2e^(-2t)],[e^(-2t)]]
3
2 X;X1 4
3t
2e 2t
22. x'
X2
3
3e3t