Use the graphing facilities of your CAS or calculator to approximate solutions to the following nonlinear systems. a. 4x2 - 20X, Hx? + 8 = 0, b - sin(47rxlX2) - 2x2 - x, = 0, 4 47r I Ixaj + 2x, - 5., + 8 = 0. [-^T) ie2" - e)+4ext - 2 " ,= 0 c. x; (1 X|) + 4x2 = 12, d. 5x2 x| = 0, (xi 2)2 + (2x2 3)2 = 25. X2 0.25(sinxi + cos X2) = 0.

Math 340 Final Lectures – Introduction to Ordinary Differential Equations – May 2 to 6 What We Covered This Week: 1. Congrats guys, we made it! This last week was pure review and we worked through 3 worksheets. Because they are considered homework, I can’t go over the problems however I’ll rewrite each worksheet below so you can work through them 2. Before doing that, we did take a quiz this week a. Covered sections 5.2, 5.3, 5.4 3. Worksheet 11 ′ 2 ′ a. Consider the initial value problem − 4 − 5 = , 0 = −1, 0 = 0 ( ) i. Apply the Laplace Transform to both sides