Solution Found!
In 43 –48 each figure represents the graph of
Chapter 4, Problem 48E(choose chapter or problem)
In Problems 43–48 each figure represents the graph of a particular solution of one of the following differential equations:
(a) \(y^{\prime \prime}-3 y^{\prime}-4 y=0\) (b) \(y^{\prime \prime}+4 y=0\)
(c) \(y^{\prime \prime}+2 y^{\prime}+y=0\) (d) \(y^{\prime \prime}+y=0\)
(e) \(y^{\prime \prime}+2 y^{\prime}+2 y=0\) (f) \(y^{\prime \prime}-3 y^{\prime}+2 y=0\)
Match a solution curve with one of the differential equations. Explain your reasoning.
Text Transcription:
y^{\prime \prime}-3 y^{\prime}-4 y=0
y^{\prime \prime}+4 y=0
y^{\prime \prime}+2 y^{\prime}+y=0
y^{\prime \prime}+y=0
y^{\prime \prime}+2 y^{\prime}+2 y=0
y^{\prime \prime}-3 y^{\prime}+2 y=0
Questions & Answers
QUESTION:
In Problems 43–48 each figure represents the graph of a particular solution of one of the following differential equations:
(a) \(y^{\prime \prime}-3 y^{\prime}-4 y=0\) (b) \(y^{\prime \prime}+4 y=0\)
(c) \(y^{\prime \prime}+2 y^{\prime}+y=0\) (d) \(y^{\prime \prime}+y=0\)
(e) \(y^{\prime \prime}+2 y^{\prime}+2 y=0\) (f) \(y^{\prime \prime}-3 y^{\prime}+2 y=0\)
Match a solution curve with one of the differential equations. Explain your reasoning.
Text Transcription:
y^{\prime \prime}-3 y^{\prime}-4 y=0
y^{\prime \prime}+4 y=0
y^{\prime \prime}+2 y^{\prime}+y=0
y^{\prime \prime}+y=0
y^{\prime \prime}+2 y^{\prime}+2 y=0
y^{\prime \prime}-3 y^{\prime}+2 y=0
ANSWER:Step 1 of 2
We have given a solution curve and we have to find the corresponding differential equation for that curve.