Solution Found!
In 19 and 20 verify that the indicated expression is an
Chapter 1, Problem 19E(choose chapter or problem)
In Problems 19 and 20 verify that the indicated expression is an implicit solution of the given first-order differential equation. Find at least one explicit solution \(y=\phi(x)\) in each case. Use a graphing utility to obtain the graph of an explicit solution. Give an interval I of definition of each solution \(\phi\) .
\(\frac{d X}{d t}=(X-1)(1-2 X)\) ; \(\ln \left(\frac{2 X-1}{X-1}\right)=t\)
Text Transcription:
y=phi(x)
phi
dX/dt = (X-1)(1-2X)
ln (2X-1/X-1) = t
Questions & Answers
QUESTION:
In Problems 19 and 20 verify that the indicated expression is an implicit solution of the given first-order differential equation. Find at least one explicit solution \(y=\phi(x)\) in each case. Use a graphing utility to obtain the graph of an explicit solution. Give an interval I of definition of each solution \(\phi\) .
\(\frac{d X}{d t}=(X-1)(1-2 X)\) ; \(\ln \left(\frac{2 X-1}{X-1}\right)=t\)
Text Transcription:
y=phi(x)
phi
dX/dt = (X-1)(1-2X)
ln (2X-1/X-1) = t
ANSWER:Step 1 of 4
In this problem we have to verify that the indicated expression is an implicit solution of the given first-order differential equation
.