Solution Found!
Solution: In 1–6, determine the largest interval (a,b) for
Chapter 6, Problem 3E(choose chapter or problem)
In Problems 1-6, determine the largest interval (a, b) for which Theorem 1 guarantees the
existence of a unique solution on (a, b) to the given initial value problem.
\(y^{\prime \prime \prime}-y^{\prime \prime}+\sqrt{x-1} y=\tan x\)
\(y(5)=y^{\prime}(5)=y^{\prime \prime}(5)=1\)
Equation Transcription:
Text Transcription:
Y'''-y''+ sqrt x-1y=tan x
y(5)=y'(5)=y''(5)=1
Questions & Answers
QUESTION:
In Problems 1-6, determine the largest interval (a, b) for which Theorem 1 guarantees the
existence of a unique solution on (a, b) to the given initial value problem.
\(y^{\prime \prime \prime}-y^{\prime \prime}+\sqrt{x-1} y=\tan x\)
\(y(5)=y^{\prime}(5)=y^{\prime \prime}(5)=1\)
Equation Transcription:
Text Transcription:
Y'''-y''+ sqrt x-1y=tan x
y(5)=y'(5)=y''(5)=1
ANSWER:
Solution:
Step 1:
In this question we have to determine the largest interval (a,b) for which Theorem 1 guarantees the existence of a unique solution on (a,b) to the given initial value problem.