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Differential equation
- Thread starter Rodrik
- Start date
D
Deleted member 4993
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What is the Homogeneous solution of your DE? That would be my first step.View attachment 23129
Some help for first step?
Please show us what you have tried and exactly where you are stuck.
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D
Deleted member 4993
Guest
Can you solve:View attachment 23129
Some help for first step?
\(\displaystyle \frac{dN}{N - N^2 } \ = \ dt \) ...............[edited]
Last edited by a moderator:
HallsofIvy
Elite Member
- Joined
- Jan 27, 2012
- Messages
- 7,763
There is a standard "reduction of order" method. I suspect that this problem was designed to test that! Since you are told that \(\displaystyle \frac{1}{t}+\frac{1}{2}\) is a solution to this differential equation, try a solution of the form \(\displaystyle u(t)\left(\frac{1}{t}+ \frac{1}{2}\right)= \frac{u(t)}{t}+ \frac{u(t)}{2}\) and try to determine u.