Recent content by Hector Triana
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Graduate Varying Gravity and Air Resistance in projectile motion
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...- Hector Triana
- Post #4
- Forum: Electromagnetism
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Graduate Varying Gravity and Air Resistance in projectile motion
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##...- Hector Triana
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- Air Air resistance Drag force Gravity Motion Projectile Projectile motion Resistance
- Replies: 7
- Forum: Electromagnetism
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Undergrad How to solve an ODE to find its solution
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...- Hector Triana
- Post #7
- Forum: Differential Equations
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Undergrad How to solve an ODE to find its solution
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.- Hector Triana
- Post #3
- Forum: Differential Equations
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Graduate Probability at a temperature T that a system has a particular energy
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...- Hector Triana
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- Energy Natural frequency Probability Statisical mechanics System Tempeature Temperature
- Replies: 1
- Forum: Thermodynamics
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Undergrad How to solve an ODE to find its solution
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...- Hector Triana
- Thread
- Ode
- Replies: 7
- Forum: Differential Equations
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Graduate Partial Differential Equation Mathematical Modelling
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}...- Hector Triana
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- Differential Differential equation Mathematical Mathematical modelling Modelling Partial Partial differential equations
- Replies: 1
- Forum: Differential Equations