Recent content by CaptainJames

I think 2/x is a particular solution? cause... you got, let's see... -2/x^2 - 4*2/x^2 = -10/x^2 Okay so now what...?? Cx^4 + 2/x? v=Cx^4 + 2/x y = v^(-1/2) y^2 = 1/(Cx^4+2/x) or... y^2 = x/(Cx^5 + 2) which is... CORRECT! thanks a bunch! So all you have to do is find...

Homework Statement x^2y' + 2xy = 5y^3 Homework Equations Bernoulli Equation The Attempt at a Solution so... v=y^-2, y=v^(-1/2) y' = -1/2v'v^(-3/2) moving everything over... y'/y^3 + 2/(xy^2) = 5/x^2 and plugging everything in... -1/2v' + 2v/x = 5/x^2 v' - 4v/x = -10/x^2 v' -...

Ah! Thanks a bunch, I got it.

b) Real satellites are complicated objects (see photo above). To simplify the problem, suppose the satellite is a spherical black body with a 0.3 m radius. Suppose the satellite's electronics generated 3900 Watts. What would be the equilibrium temperature, Teq, of the satellite? Okeedoke, so...

Ahhh you're right, I misused terminology, I meant isn't the acceleration slightly larger.

Actually, along with this, isn't the gravitational force of a more massive object slightly larger, although because of the Earth's mass it's unnoticable?

I see my problem, I was trying to apply my world to mathematics too readily, thanks for the help everyone.

Hmm, could someone define a point for me... i think the problem is that I define a point as an indivisible amount of space, which is probably wrong, any help?

No, I mean an infinitely small change in the x direction times an infinitely small change in the y direction.

Oh, I see what he's saying now, so... what is wrong with his argument?

The questions are all worded very strangely, and I think the game makes conclusions that aren't exactly consistent with the questions. But, it was fun nonetheless.

What's the difference between dx times dy and a point? Having trouble thinking about this... it's been hurting my head, any help would be greatly appreciated.

Well... I think what you're saying is that isn't it the same to sum up 1/x from 1 to infinity as it is to sum up 1/x from 0 to 1. Hmm, I think the main problem here is that when you are summing up terms from 1 to infinty you never encounter infinite numbers, whereas if you were summing from 0...

Oh crap, yea I see it. I said dP/(2k square root of p) = 2k square root of P, instead of 1/2k * square root of P. Thanks for the help :P.

Thanks so much! What did I do wrong...?