Solution Found!
Answer: In 15-18, assume that p and q are continuous, and that the functions y, and y
Chapter 2, Problem 18(choose chapter or problem)
In 15-18, assume that p and q are continuous, and that the functions y, and y, are solutions of the differential equation on the interval a < t < p.Suppose that y, and y, are a fundamental set of solutions on the interval - oo< t < ao. Show that there is one and only one zero of y , between consecutivezeros of y2. Hint: Differentiate the quantity y2/y, and use Rolle's Theorem.
Questions & Answers
QUESTION:
In 15-18, assume that p and q are continuous, and that the functions y, and y, are solutions of the differential equation on the interval a < t < p.Suppose that y, and y, are a fundamental set of solutions on the interval - oo< t < ao. Show that there is one and only one zero of y , between consecutivezeros of y2. Hint: Differentiate the quantity y2/y, and use Rolle's Theorem.
ANSWER:Step 1 of 2
It is given that,
To show that there is one and only one zero of 
It is known that,
The Rolle’s Theorem is defined as,
