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3
questions
3
votes
2
answers
295
views
Can we clarify this "accumulated money flow" application of integration?
I read about this model/application in Calculus with Applications, 11th Edition by Lial, Greenwell, and Ritchey (example), where if you have a function $f(t)$ that models some revenue stream, the rate ...
- 19k
0
votes
1
answer
263
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Mathematical expression for physical forces in pendulum ODE
A 16 lb weight is suspended from a spring having a spring constant of 5 lb/ft. Assume that an external force given by
24 sin (10t) and a damping force with damping constant 4, are acting on the spring....
- 612
2
votes
2
answers
1k
views
A model for the spruce budworm population
A model for the spruce budworm population $u(t)$ is governed by
$$\frac{du}{dt}=ru\left(1-\frac{u}{q}\right)-\frac{u^2}{1+u^2}$$
where $r,q$ are positive dimensionless parameters. The nonzero stedy ...
- 1,773