2
votes
0answers
59 views

Positive eigenvalues in differential-algebraic equations not appearing in time-domain simulation

I am solving a system of equations derived from power system applications. It consists of index-1 differential and algebraic equations in the form: $$\dot{x}=f(x,y) \\ 0=g(x,y)$$ To get the ...
2
votes
2answers
71 views

Need to explain an application of $y' = ky$

I have to write application of the ODE $y' = ky$. i want application or any that explain little bit. Thanks!
3
votes
1answer
100 views

Geometric reason for 3/4-power growth rate?

It seems pretty well established that organisms grow according to a 3/4-power law. For example, Niklas and Enquist, in their paper "Invariant scaling relationships for interspecific plant biomass ...
0
votes
1answer
166 views

how to find the application of ordinary differential equation

This question may be out of the scope of this website, if so let me know and i will delete it. so I am right now taking an ODE class, which i find to be mildly interesting, though it seems to be more ...