Please, does anyone know any application about differential equations in physics / engineering or anything interesting? In particular, of second order. I'm desperate, I have an oral proval tomorrow morning. I am getting crazy. Thankful.
Please, does anyone know any application about differential equations in physics / engineering or anything interesting...
Lincoln Hughes
Kevin Williams
A very obvious and cliche example is Ressonance.
Every physical material has a natural frequency, at which it vibrates for small perturbations. If you excite the system with one of its natural frequencies the system the energy of the system will increase linearly with time.
ie: It's gonna break eventually.
You could theoretically destroy a bridge using a tiny tiny machine with it.
Jeremiah Howard
The Schrödinger equation
Blake Campbell
The teacher asked for an application of ordinary differential equations in some area. The other guys in my class have already chosen Newton's law of cooling, mass-spring systems, Tacoma bridge, circuits, oscillating structures, suspended cables. Since you can not repeat some of your colleagues' applications, I'm lost.
Isaac Perez
That's a partial
Zachary Taylor
Some problems in fluid mechanics can be reduced to systems of ODE's
Ekman transport. That ones tricky to solve though. You start with a 4th order ODE and reduce it to 2 coupled ODEs. Or do a laplace transform.
Chase Myers
gl
Josiah Gomez
Mechanical vibrations
James Morales
A colleague had chosen a second order differential equation for RLC circuits
Gabriel Morales
>Ekman transport
wait nevermind... its the other way around.
you start with coupled 2nd order ODEs and reduce it to a 4th order ODE and use trickery or laplace transform to solve. see wikipedia.
Jordan Roberts
I gave you one that you didn't mention
Now be polite, and say thank you.
Grayson Rodriguez
AC circuit analysis.
Anthony Reed
I meant to send part 1 not part 3
Nicholas King
Well OP.
You have not reciprocated my favour and helpful comment with the common decency of saying thank you.
I now find myself hoping that you are hit by a bus.
Good day sir.
Matthew Ortiz
OP here, i'm focus on differential equations ordrinary. I will check this example, thanks man.
Angel Perry
Hey man, relax. I still looking for an application cause other just already choice RLC circuit. But i thankful for your help, God bless you.
Adam Torres
You better go with my example, and you better get a damn A.
Or so help you god... I will...
Aiden King
Newtonian and Lagrangian classical mechanics.
For example, if we have F=-kx as is Hooke's law, we get mx''=-kx.
Matthew Hernandez
OP here. I discover the Pendulum equation, what do you think abou it?
Oh, thanks a lot for all you help, guys
Nolan Fisher
Pendulum equation is good, if you want to be impressive just look up elliptic integrals and try solving it without the small-angle approximation.
Carson Morris
>without the small angle approximation
Sebastian Peterson
I will try search about that, looks interesting.
Elijah Campbell
Do you have any suggestions where I find things like this: an article, a specific theory? Also, thank you, brother.
Noah Bennett
en.wikipedia.org
mathworld.wolfram.com
Just these might be able to get you started. The basic problem is to solve the equation [math]\theta'' + \omega_0^2 \sin(\theta) = 0[/math] for theta. You can multiply the equation by [math]2\theta'[/math] and use [math]\frac{d}{dt}(f(x)^2) = 2*f(x)*f'(x)[/math] to make it separable.
Easton White
As a physicist, I doubt there's anything physical that can't rely on differential equation. Quantum mechanics, thermodynamics, relativity, classical mechanics, wave and oscillation, astrophysics, statistical mechanics, particle's physic, electrodynamics, data analysis, you name it...
Hudson Thompson
will you help me with a thermo workout problem? please
Nathan Wood
mass-spring or an LCR circuit
Colton Rivera
pendulum?
Anthony Myers
Solve a simple harmonic oscillator for its 1d equation of motion and you are solving a simple 2nd order linear homogeneous de with constant coefficients
Benjamin Howard
Movement of pendulum using differential equations? Flow of fluid is also another case of using ODEs and is equivalent to use in circuits or mass-spring-dampener systems.
Cameron White
Are you serious?
Literally everything
Isaiah Johnson
In electromagnetism you have poisson's equation
Where you start with del^2 (E) = -V
There's a number of ways to solve it too.
Samuel Torres
>properties of exponents and basic geometry equations
Guy in OP pic is a total brainlet