Solution Found!
(a) Let y ,(t) and y2(t) be solutions of (3) on the interval a < t < /3, with y ,(to) =
Chapter 2, Problem 9(choose chapter or problem)
(a) Let y ,(t) and y2(t) be solutions of (3) on the interval a < t < /3, with y ,(to) = 1, y;(to) = 0, yz(to) = 0, and yi(to) = 1. Show that y,(t) and y2(t) form a fundamental set of solutions of (3) on the interval a < t < P. (b) Show that y (t) = yo y ,(t) + y&y2(t) is the solution of (3) satisfying y (to) = yo and y'(tJ = yh.
Questions & Answers
QUESTION:
(a) Let y ,(t) and y2(t) be solutions of (3) on the interval a < t < /3, with y ,(to) = 1, y;(to) = 0, yz(to) = 0, and yi(to) = 1. Show that y,(t) and y2(t) form a fundamental set of solutions of (3) on the interval a < t < P. (b) Show that y (t) = yo y ,(t) + y&y2(t) is the solution of (3) satisfying y (to) = yo and y'(tJ = yh.
ANSWER:Step 1 of 5
Given equation (3):
Given initial conditions: