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=ϕ(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 ϕ. dX/dt =(X-1)(1-2X); ln((2X-1)/(X-1))=t
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=ϕ(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 ϕ. dX/dt =(X-1)(1-2X); ln((2X-1)/(X-1))=t
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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=ϕ(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 ϕ.
dX/dt =(X-1)(1-2X); ln((2X-1)/(X-1))=t
Transcribed Image Text: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 = 6(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 o.
( 2X – 1
In
X – 1
dX
19.
(X – 1)(1 – 2X);
= t
dt
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