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OpenStudy (itz_sid):
I need help with Numero Cuatroo. (#4).
OpenStudy (itz_sid):
@agent0smith
OpenStudy (sissyedgar):
I don't know. Sorry! ♥
OpenStudy (agent0smith):
Not sure, sorry.
OpenStudy (itz_sid):
It's okay guys. :/
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OpenStudy (emilee02):
im sorry idk
OpenStudy (karim728):
what university u go too?
OpenStudy (518nad):
ill hlep u lol xD
OpenStudy (518nad):
first rewrite it in standard form for me
dy/dx + p(x) y = q(x)
OpenStudy (seratul):
518nad always comes in clutch.
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OpenStudy (itz_sid):
@Karim728 I go to CSULB.
OpenStudy (itz_sid):
Okay, I get... \[\frac{ dy }{ dx } -\frac{ 4 }{ x }y = 6x^3e^x\]
OpenStudy (518nad):
okay so here is how this method works
OpenStudy (itz_sid):
\[I(x) = e^{\int\limits \frac{ 4 }{ x } dx}\]
OpenStudy (itz_sid):
Negative*
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OpenStudy (518nad):
we try to multiply by some func u(x) such that
y'u(x) + p(x)u(x) y = q(x)u(x)
(Y*u )' = y'*u + y*u' = y' u + p u y = q u
this means u' = p u
so u = e^(int(p) dx)
this u is the integrating factor
OpenStudy (itz_sid):
Yessir.
OpenStudy (518nad):
if we do this then
(Y*u )' = qu
y= (integral qu dx )/ u
OpenStudy (518nad):
oh dont forget the -4/x
OpenStudy (518nad):
u are doing 4/x
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OpenStudy (itz_sid):
So then
Integrating Factor = x^4
\[\int\limits[x^4y]' = \int\limits 6x^7e^x\]
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OpenStudy (518nad):
yup
OpenStudy (518nad):
so itsss the last choice
OpenStudy (itz_sid):
Oh i see. Haha thanks!
OpenStudy (emilee02):
hey could you un tag me so i can stop getting notified
OpenStudy (emilee02):
ab this quistion
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OpenStudy (sissyedgar):
Well that looked difficult...
You two were talking like it was common conversation or something... xP
I was just sitting like "What in the World......"