All Questions
Tagged with applications ordinary-differential-equations
117
questions
8
votes
2
answers
2k
views
Differential vs difference equations in mathematical modeling
I'm reading a little about mathematical modeling and I've seen some population models based on differential equations. I've also seen some (not many) that can support both difference and differential ...
- 1,773
4
votes
5
answers
757
views
Why - not how - do you solve Differential Equations? [closed]
I know HOW to mechanically solve basic diff. equations. To recap, you start out with the derivative $\frac{dy}{dx}=...$ and you aim to find out y=... To do this, you separate the variables, and ...
- 4,769
6
votes
1
answer
2k
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Background for studying and understanding Stochastic differential equations
Assume I have back ground of the following knowledge based on the textbook as :
ODE : ODE by Tenenbaum
Baby probability : Ross 's baby probability
Baby real anlysis : Bartle's introduction to real ...
- 1,975
1
vote
1
answer
3k
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Optimisation of a rectangles area under a function curve
I have a questions asking for the dimensions of the rectangle with the largest area that has two bottom corners on the x axis and two top corners on the curve $y=12-x^2$.
I have plotted the curve and ...
- 507
1
vote
3
answers
285
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Differentiation problem solving
I have a question which I'm unable to provide much working for as I'm not sure how to start it.
A metal sphere is placed in seawater to study the corrosive effect of seawater. If the surface area ...
- 507
4
votes
3
answers
3k
views
Modelling with exact differential equations?
I'm teaching some very elementary differential equations to engineering students, and their constant question to me is "What's the use of this?" or alternatively "Where would we use this?" Now, I'm ...
- 840
2
votes
0
answers
416
views
Calculate half life of esters
I'm trying to calculate the level of testosterone released from different testosterone esters.
Here are some graphs of testosterone levels after single injections of 250mg of each ester.
Testo U
...
- 163
1
vote
4
answers
128
views
Find the equation of the tangent to the curve
Find the equation of the tangent to the curve $\sqrt X + \sqrt Y = a\;$ at the point $\left(\dfrac {a^2}{4},\dfrac {a^2}{4}\right)$
I don't know how to find $\dfrac {\mathrm dy}{\mathrm dx}$ in ...
user83913
10
votes
4
answers
2k
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What is the physical meaning of fractional calculus?
What is the physical meaning of the fractional integral and fractional derivative?
And many researchers deal with the fractional boundary value problems, and what is the physical background?
What ...
- 111
2
votes
0
answers
156
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 ...
- 163
3
votes
1
answer
159
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 ...
- 30.4k
0
votes
1
answer
367
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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 ...
- 405