Recent content by Omega_Prime

1. Our Solar System name?

Ok, so I've been passionately researching my latest novel idea as it takes place in an extremely far fetched future with long range interstellar travel and all that and the brink of controlled time modulation etc... While doing this, I've been able to name every site, system, planet of...
2. Rawr! Stuck on ODE (linear 1st order!)

Thank you so much guys, I was banging my head on my desk with that. The solution y = \frac{(x+8)^{9}}{13} + (8^{5} - \frac{8^{13}}{13})(x+8)^{-4} checked out.
3. Rawr! Stuck on ODE (linear 1st order!)

No luck. Oh well, thanks for your time I guess.
4. Rawr! Stuck on ODE (linear 1st order!)

Ok lemme look at that, thanks.
5. Rawr! Stuck on ODE (linear 1st order!)

I didn't think it'd matter... I get the same thing. y = \frac{(x+8)^{9}}{13} + C_{1} | where C_{1} is just another arbitrary constant that will satisfy the equation given the initial conditions. I get the same constant regardless... 8 = \frac{8^{9}}{13} + C_{1} C_{1} = 8 -...
6. Rawr! Stuck on ODE (linear 1st order!)

Homework Statement Solve the initial value problem: y'+\frac{4y}{x+8}=(x+8)^{8} , y(0)=8. The differential equation is linear. Homework Equations N/A The Attempt at a Solution I can see that the equation is in the form y' +P(x)*y = Q(x) so I'm like "easy, lemme get an...
7. What should I do to get into MIT, CalTech, etc?

Two-Fish I thoroughly enjoyed your edgy, quasi-Yoda-like contributions to what may have been just some ordinary necro thread!
8. 2log(x-1) + logx = logx + log4

There you go! I'd have kept log(4) on the right side and then just solve for x.
9. 2log(x-1) + logx = logx + log4

Well the first step is just an algebra step, you have log (x) on both sides of the = sign, so the equation can be reduced. When that happens you are left with a log (of something) = log (of something else) when this happens you can sort of drop the log and just solve for x.
10. 2log(x-1) + logx = logx + log4

Hey there, ok it looks like you have some exact same term on both sides to begin with, so those can just cancel out right? This leaves you with a log of something = a log of something else, that should simplify it down nice for ya.
11. Improper Integral (Calc II)

Ugh... Sorry to waste your time. The limit is pi/2, all I had to do was take the limit and I was already done lol. For some reason I thought there would be no limit for the arctan and that was bothering me.
12. Improper Integral (Calc II)

Been doing some calculus review to knock the rust off for this coming fall semester and I got stuck... Homework Statement From Stewart's book (Early Transcendentals: 6E): (7.8 pg517 #69) Determine how large the number "a" has to be so that: \int\stackrel{\infty}{a}\frac{1}{x^{2}+1}dx <.001...