- #1
Lancelot59
- 646
- 1
I'm given:
1. [tex]\frac{dX}{dt}=(X-1)(1-2X)[/tex]
2. [tex]ln(\frac{2X-1}{X-1})=t[/tex]
and asked to verify that it is an implicit solution to the first order DE given.
I successfully derived the second equation there to get:
[tex]\frac{dX}{dt}=\frac{-1}{(2X-1)(X-1)}[/tex]
So now what? I tried several things and got nowhere.
1. [tex]\frac{dX}{dt}=(X-1)(1-2X)[/tex]
2. [tex]ln(\frac{2X-1}{X-1})=t[/tex]
and asked to verify that it is an implicit solution to the first order DE given.
I successfully derived the second equation there to get:
[tex]\frac{dX}{dt}=\frac{-1}{(2X-1)(X-1)}[/tex]
So now what? I tried several things and got nowhere.