Mathmeticians
- Thread starter Jeslek
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unclehobart
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and the devil thinks hes a detail.
MuFu
New Member
Originally posted by Luis G
btw.....i'm god in maths
Awesome. I'm stuck with this differential equation right now...
By means of the substitution z = y/x, solve the equation:
dy/dx = y^2/x^2 + y/x + 1
The answer is y = tan(ln Dx) where D is a constant of integration.
Anybody know the working? Luis?
MuFu.
Stop Laughing
New Member
Oh god, I love differential equations, but I haven't done them in a while. Maybe I'll have it for you later on. Time to go get my Bible, a.k.a. my Calculus book.
It's been a while since i did my last differential equation, but if i remember right the thing should be done like this:
z=y/x, y = zx, dy/dx = z + xdz/dx
z + xdz/dx = z^2 + z + 1
xdz/dx = z^2 + 1
x/dx = (z^2 + 1)/dz
dx/x = dz/(z^2+1)
making the integration
ln(x) + C = arctan(z)
but: z = y/x
ln(Cx) = arctan(y/x)
tan( ln(Cx) ) = y/x
y = x tan ( ln(Cx) )
Either iim wrong or you missed an x in your post.
z=y/x, y = zx, dy/dx = z + xdz/dx
z + xdz/dx = z^2 + z + 1
xdz/dx = z^2 + 1
x/dx = (z^2 + 1)/dz
dx/x = dz/(z^2+1)
making the integration
ln(x) + C = arctan(z)
but: z = y/x
ln(Cx) = arctan(y/x)
tan( ln(Cx) ) = y/x
y = x tan ( ln(Cx) )
Either iim wrong or you missed an x in your post.
Originally posted by LastLegionary
Biologists think they're biochemists.
Biochemists think they're chemists.
Chemists think the're physical chemists.
Physical Chemists think they're physicists.
Physicists think they're God.
God thinks he is a mathematician.
I have met many physics majors that think they are chemists.
Haha they wouldn't know the first thing about making a reaction go. Some people are a good calculator/robot(mathematicians or physicists). Big deal!
Anyway math is nice but you need something to apply it too same as physics.
This is why Chemistry is the Central Science.
I consider Chemistry a ancient art. Math and Physics is simply a tool for a Chemist.
Originally posted by Luis G
What about the space??, only one atom per cubic meter, we need physics there
What about space? You think you can just walk out there and do some calculations with a thermometer and a tape measure.
Without Chemistry or material you have no particles to apply your math and physics to and they are simply numbers with no true meaning.
It would be interesting to try and find physical charecteristics of a true "vacuum."
You would find what
density=0
mass=0
thermal conductivity(this ones for you OSLI)=0
refractive index=0
Not a whole lot of numbers to work with here now are there?
Don't know what you think, but chemistry are not atoms, and physics are not numbers.
Math is a pure abstract science, chemistry and physics are not.
I don't consider a mother science, because that's a completely wrong conception, some religious guy could come and say that teology is the mother science, because without god there would not be a single thing....
Math is a pure abstract science, chemistry and physics are not.
I don't consider a mother science, because that's a completely wrong conception, some religious guy could come and say that teology is the mother science, because without god there would not be a single thing....
Stop Laughing
New Member
I heard (I think either from my first Physics teacher or one of my Calculus teachers) that Physics was basically a mix of a bunch of smaller sciences. Math isn't a science, it's a tool of science, by far the most powerful one. Math is a universal language. BTW, I learned more Physics in Calculus than I ever did in any Physics class.
