- #1
sid9221
- 111
- 0
I want to find the root(for N) of this equation:
[tex] \frac{(2N-1)^2}{N(1-N)}=Ce^t [/tex]
The hint says "consider taking a substitution u=N-1/2" ...which is the top bit of the fraction. But what does take a substitution here mean ?
This is a part of a loooong modelling problem which involved an ugly *** integral and gave this equation as the result. I've never evaluated a "quartic equation" so I'm a bit confused about the process.
I have the answer from wolfram so am looking for guidance on how to work it out by hand.
[tex] \frac{(2N-1)^2}{N(1-N)}=Ce^t [/tex]
The hint says "consider taking a substitution u=N-1/2" ...which is the top bit of the fraction. But what does take a substitution here mean ?
This is a part of a loooong modelling problem which involved an ugly *** integral and gave this equation as the result. I've never evaluated a "quartic equation" so I'm a bit confused about the process.
I have the answer from wolfram so am looking for guidance on how to work it out by hand.