[dlgn]

Online math courses are simply wonderful. Let this scintillating problem be an example:



Ever wonder why Intelli hardly ever comes on MineRealm anymore? Here's why: he's busy travelling back and forth between here and his home planet. He can hardly get any internet access on the ship. I expect to see alien spacecraft abducting people's pet rocks within the next month.

Type "rokkr" in a google search bar and look at the suggestions. Yes, good ol' Rokkr is looked up enough that he's actually in Google suggestions. Actually kinda creepy now that I think about it...

~dlgn

[MEMYYSELFANDME!!]

My knowledge

Also this

[dlgn]

Obviously, you've never tried to do advanced physics, engineering, chemistry, etc.

[MEMYYSELFANDME!!]

Question 1: Find the general solution for differential equation

(D4 - 5D3 + 5D2 + 5D - 6)y = 0

Solution:
Given differential equation, (D4 - 5D3 + 5D2 + 5D - 6)y = 0

=> For general solution of equation,

Solve D4 - 5D3 + 5D2 + 5D - 6 = 0

=> D4 - 5D3 + 6D2 - D2 + 5D - 6 = 0

=> D2 (D2 - 5D + 6) - (D2 - 5D + 6) = 0

=> (D2 - 5D + 6)(D2 - 1) = 0 ................................(1)

Now

D2 - 1 = (D - 1)(D + 1) and

Factors of D2 - 5D + 6

D2 - 5D + 6 = D2 - 2D - 3D + 6

= D(D - 2) - 3(D - 2)

= (D - 3)(D - 2)

Therefore, equation (1) implies

(D2 - 5D + 6)(D2 - 1) = (D - 3)(D - 2)(D - 1)(D + 1) = 0

=> D = 3, 2, 1, -1 or D = -1, 1,, 2, 3

=> General solution of differential equation is,

=> y = C1 e-x + C2 ex + C3 e2x + C4 e3x .


Bring it

[guadalcanal1]

Online math courses are simply wonderful. Let this scintillating problem be an example:



Ever wonder why Intelli hardly ever comes on MineRealm anymore? Here's why: he's busy travelling back and forth between here and his home planet. He can hardly get any internet access on the ship. I expect to see alien spacecraft abducting people's pet rocks within the next month.

Type "rokkr" in a google search bar and look at the suggestions. Yes, good ol' Rokkr is looked up enough that he's actually in Google suggestions. Actually kinda creepy now that I think about it...

~dlgn

Heh, try searching "guadalcanal1 minecraft"
I've got some funneh stuffs

[faldette]

Speaking of maths, 1+e^(i*π)=0. o.o

[dlgn]

Speaking of maths, 1+e^(i*π)=0. o.o

Euler's Identiy is important, simple, and beautiful.



I could give a proof of that, I think...xD

@Kevin Use standard Leibniz notation and I might give you problem a try.

~dlgn

[krinbros]

Type "rokkr" in a google search bar and look at the suggestions. Yes, good ol' Rokkr is looked up enough that he's actually in Google suggestions. Actually kinda creepy now that I think about it...

~dlgn

http://shadowlight.gydja.com/rokkr.html

It all makes sense now @_@

[dlgn]

Rokkr=Twilight, Shadow, Darkness

Red's picture makes sense now...

[krinbros]

Rokkr=Twilight, Shadow, Darkness

Red's picture makes sense now...

No wonder his skin is Dark Link