Problems 35–37 show that all nontrivial solution curves of the system in Example 11 are ellipses rotated by the same angle as the trajectory in Fig. 7.4.11.

In analytic geometry it is shown that the general quadratic equation

represents an ellipse centered at the origin if and only if Ak > 0 and the discriminant B² - 4AC

Transcribed Image Text:

Example 11 Solve the initial value problem 6 -17 X' x = [$ ²] x x = [] x(0) 8 (46)