Hello, thanks for your commentaries, I'm looking for approaches for this studying case, especially without initial conditions, @sophiecentaur , would you share the simulation in excel? it sounds interesting, that point of view seems very analytical. The objective that I've got with this exercise...
Salutations, I have been trying to approach a case about projectile motion considering variation of gravity acceleration and air resistance:
A spherical baseball with mass "m" is hit with inclination angle $\theta$ and launching velocity $v_0$, then, the wind has a drag force equals to ##F=kv##...
Hi, thanks for your commentaries, according the suggestions of @Delta2 about wolfram, I was exploring and I think I could solve it, I didn't realize I had a mistake with a sign in my procedure. I share my proposal solution in this link...
Thanks for your commentary @Delta2 about wolfram it's true, I'm not premium user, but thanks for it, indeed, y=kx is not solution, thanks for the link again.
Salutations, I'm starting in statistical mechanics and reviewing some related studying cases I would like to understand what occurs in small systems with normal modes of vibration, for example, a small system that has 2 normal modes of vibration, with natural frequencies $$\omega_1$$ and...
Salutations, I have a problem when I approach this ODE:
$$\left(\frac{y}{y'}\right)^2+y^2=b^2\left(x-\frac{y}{y'}\right)^2$$
I have done a series of steps as I show in this link:
https://drive.google.com/file/d/1Ht4xxUlm7vXqg4S5-wirKwm7vTESU3mU/view?usp=sharing
But I'm not convinced that those...
Salutations,
I have been trying to approach a modelling case about organism propagation which reproducing with velocity $$\alpha$$ spreading randomly according these equations:
$$\frac{du(x,t)}{dt}=k\frac{d^2u}{dx^2} +\alpha u(x,t)\\\ \\ u(x,0)=\delta(x)\\\ \lim\limits_{x \to \pm\infty}...