Recent content by Hyrox

I'm reviewing for a D.E. quiz, and I came across this problem. Solve the IVP y'=1+x+y+xy, y(0)=0 I feel as if it's terribly simple and my brain is simply not clicking. Any help would be appreciated.

Haha, yup. I've heard that exact same scale. I've also heard it scaled with a googol. The diameter of the observable universe is supposed to be just over a googol Planck lengths.

Definitely. The de Broglie of a macroscopic object is: de Broglie wavelength = (h/momentum) So, for a car weighing, say, one thousand kilograms, moving at 60 km/hr... (6.62608 x 10^(-34) kg m^2 s^(-1))/(1000 kg x 16.667 m s^(-1)) = 3.97557 x 10^(-38) m Since the Planck length is...

I didn't think it was that bad. I loved the book. I'm currently reading The Fabric of the Cosmos. I can't say he's done a great job of convincing me to believe in string theory though...I'm rather skeptical about it.

The first time I heard it explained like that (I think) was when I read The Elegant Universe by Brian Greene.

Just out of curiosity, it was Einstein who originally said that, right? I understood that was what the Special Theory of Relativity was all about, how everything traveled through space/time at the speed of light.

Okay, let's see. I stopped here: uv - ∫vdu = ((lnx)(x^1-p))/(1-p) - ∫[(x^(1-p))/(x(1-p))]dx and then I picked back up. \frac{lnx(x)^{1-p}}{1-p} - \frac{1}{1-p} ∫x^(-p) = lim n→∞ \frac{ln(x)^{1-p}}{1-p} - \frac{x^{1-p}}{(1-p)^{2}} At this point, I said that the limit converges for all...

for what values of p does... Homework Statement Find the values of p for which the series is convergent: Homework Equations There are two separate problems I'm having problems with here. The first is: n=1 to n=∞ ∑ 1/(n(lnn)^p) The second is: n=1 to n=∞ ∑ ln(n)/(n^p) The Attempt at a...