#What did I create?
simple jasperBOT
obsidian brook
You need to define what $\Gamma, g, G, \mu, m, k$ are first.
rough sorrelBOT
Killuminati
primal remnant
Alright
Or if anyone has any tips regarding how to solve Diff equations, please tell me
Because I do struggle at that and identifying what attempt I have to use to solve them.
primal remnant
You need to define what $\Gamma, g, G, \mu, m, k$ are first.
Yeah that is the issue, I gotta dig in and see how I can define them
And if I can't find anything or, if I can't solve it, this might really just be a brain fart
Ok, I think I have to swap something out
primal remnant
I guess we can substitute the
$g - G / \mu m$
rough sorrelBOT
Mr. NON∀M∃
primal remnant
With Newtons law of gravitation.
Maybe Γ(t) can be described as a function of instability with time. A dimensionless function which reads when a system collapses its stability.
k.. can be a spring constant
and then the rest is given in Newton's law anyways
primal remnant
I guess we can substitute the
$g - G / \mu m$
Oh, sorry, not substitute, but replace. Not wanting to imply u substitution or something like that.
native citrus
With Newtons law of gravitation.
Maybe Γ(t) can be described as a function of i...
'function of instability'?
if its gonna 'spike' at the certain time when the system collapses
watch out for its continuity and differentiability
can you give us the formula for $\Gamma$?
rough sorrelBOT
Annie Maqionde
primal remnant
'function of instability'?
Man, in all honesty, I have no clue, I'm just trying to make sense of it all. Maybe it is just a brain fart and I should close this ticket, because I feel like I'm wasting everyone's time here
primal remnant
can you give us the formula for $\Gamma$?
I don't have one, since I thought you can get it by solving the diff equation
native citrus
Man, in all honesty, I have no clue, I'm just trying to make sense of it all. Ma...
no idts you're wasting anyone's time
native citrus
I don't have one, since I thought you can get it by solving the diff equation
well it'd be easier if you told us how'd you'd arrive at it
because rn im a bit skeptical
primal remnant
Me too
native citrus
well it'd be easier if you told us how'd you'd arrive at it
..
primal remnant
I sometimes do come up with my own tasks or examples just to practice, but this looked like something big idk
primal remnant
well it'd be easier if you told us how'd you'd arrive at it
Wdym by that?
native citrus
what was your starting equation?
native citrus
Wdym by that?
what is your system?
what system and what bodies are under consideration here?
primal remnant
I was actually thinking of heavenly bodies, like, planets, objects of mass in space. Therefore the Newtonian law of gravity
native citrus
no but well what's the system in consideration?
primal remnant
I mean, I wanna dig into the juicy stuff that can be done with Diff Equations since they are also the heart of physics and I study theoretical physics. Tho I have some troubles here and there, but stuff like this theory crafting is insanely fun to me. But what can you do with it if you don't know what you have written? Or what the system is?
primal remnant
no but well what's the system in consideration?
Can you please elaborate? I don't get the question fully
Might be a bit stuck rn
native citrus
what is m? mass of what? g is relative to earth?
timid sparrow
If you want help defining things you could assume g is gravity 9.81 m/s^2, m is mass 100 g, mu is micro 10^-6, gamma is the gamma function and solve for k but if you want it to be a differential you could have k=10 and solve for gamma as a function
primal remnant
Ok, I'm gonna go this through myself some more and see if I can make sense of it
Is it wise to assume for k to be a spring constant?
native citrus
If you want help defining things you could assume g is gravity 9.81 m/s^2, m is ...
I'd say please go through the previous messages before providing futher help
native citrus
Is it wise to assume for k to be a spring constant?
well we dont know exactly what k is, but there was some theorem that related shm to circular motion so k can be a spring constant
i've seen it in many problems on orbits
primal remnant
Oh interesting
Well, if you solve for the integral on the right you get something with sinh
Is it really possible to make sense of an equation like this without prior preparation on defining what each variable does or what your system is?
native citrus
Is it really possible to make sense of an equation like this without prior prepa...
in physics, no
in mathematics, not always
primal remnant
I see
Yeah ok makes sense
Well, I'll take your advice tho, I'll see what systems can be applied in this case and I'll see how it goes.
This was just a "f**k it we ball" type equation xd
And yeah I wanted to see if it's solvable and whatnot
primal remnant
in physics, no
But tysm for your help and attempts, you are really cool
However, I'm leaving this open, maybe someone looks and this and says "cool"
deft sedge
how did you even end up with this?
primal remnant
Boredom