6. Determine if the following statement is true or false. Theorem 1.2.1 in your textbook (Existence of a Unique Solution Theorem) guarantees that the given differential equation possesses a unique solution through the given point. You must justify your conclusions. dy (a) dr (0, 1). dy (c) (0, 1) . ||

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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My question is in the image. 

I dont think my answers are right so could someone please go over them. 

I believe that part a does not possess a unique solution and part c also does not. 

6. Determine if the following statement is true or false.
Theorem 1.2.1 in your textbook (Existence of a Unique Solution Theorem) guarantees that the given differential
equation possesses a unique solution through the given point.
You must justify your conclusions.
dy
(a)
V (0,1)
dz
dy
(c)
d.r
(0, 1)
Transcribed Image Text:6. Determine if the following statement is true or false. Theorem 1.2.1 in your textbook (Existence of a Unique Solution Theorem) guarantees that the given differential equation possesses a unique solution through the given point. You must justify your conclusions. dy (a) V (0,1) dz dy (c) d.r (0, 1)
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