Solution Found!
Determine whether Theorem 1 implies that the given initial
Chapter 1, Problem 24E(choose chapter or problem)
QUESTION:
\(\frac{d y}{d t}-t y=\sin ^{2} t\), \(y(\pi)=5\)
Equation Transcription:
Text Transcription:
dy over dt-t y=sin^2t
y(pi)=5
Questions & Answers
QUESTION:
\(\frac{d y}{d t}-t y=\sin ^{2} t\), \(y(\pi)=5\)
Equation Transcription:
Text Transcription:
dy over dt-t y=sin^2t
y(pi)=5
ANSWER:Solution
In this question we have to determine whether Theorem 1 of the textbook implies that the given
initial value problem has a unique solution.
Step 1
Theorem 1
Consider the initial value problem
If are continuous functions in some rectangle .
that contains the point then the initial value problem has a unique solution ϕ(x)
in some interval where
is a positive number.