- #1
Laxer42
- 8
- 0
- Homework Statement
- Solve the “Doomsday equation”
dN/dt = N^α
and show that for α > 1, the solutions approach a vertical asymptote in finite time. What happens for α < 1?
- Relevant Equations
- n/a
dN/dt = N^α
int(N^-a)=int(dt)
[N^(1-a)]/[1-a]+c=tI believe this is a solution, but it does not produce the results I am told to be looking for.
int(N^-a)=int(dt)
[N^(1-a)]/[1-a]+c=tI believe this is a solution, but it does not produce the results I am told to be looking for.