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Mathematics 24 Online
OpenStudy (anonymous):

(x+y)dx-xdy=0

OpenStudy (ikram002p):

(x+y)dx-xdy=0 (x+y)dx=xdy dx/dy=x/x+y lol whats ur qs ?

OpenStudy (usukidoll):

exact equation?

OpenStudy (usukidoll):

like M = x+ y N = -x My = 1 Nx = -1 gotta use a ....... wow I'm so tired... I think you need to find the integrating factor.. or go through substitution but you don't wanna do that because it's long as *(@#*(#@UIO@U

OpenStudy (usukidoll):

y = xu y' = x du + u dx

OpenStudy (usukidoll):

(x+y)dx-xdy=0 xdx+ydx-xdy = 0 xdx+xudx-x(xdu+udx) = 0 xdx+ xudx-x^2du-xudx=0

OpenStudy (usukidoll):

xdx-x^2du+xudx-xudx = 0 xdx-x^2du = 0 -x^2 du = -xdx

OpenStudy (usukidoll):

du = -x/-x^2 dx

OpenStudy (usukidoll):

du = 1/x dx

OpenStudy (usukidoll):

u = ln x + c

OpenStudy (usukidoll):

oops forgot one more subsitution ... u = y/x y/x = lnx +C y=x(lnx+C) y = xlnx + Cx. hmm this problem looks familiar...

OpenStudy (usukidoll):

woo got it correct! http://www.wolframalpha.com/input/?i=%28x%2By%29dx-xdy%3D0

OpenStudy (usukidoll):

yeah it does look familiar....this was one of the problems in my homework from last semester O_o

OpenStudy (usukidoll):

first order differential equations. I remember those.. substitution/ homogeneous is the hardest part of the course right next to slope fields.

OpenStudy (ikram002p):

i think all kind of this equation r the same hmm just know how to do it once then all examples wont be different

OpenStudy (usukidoll):

it's not a separable equation... it needs all y's to be on the left and all x's on the right so dx/dy=x/x+y is out.

OpenStudy (usukidoll):

linear equations have the form y' +P(x)y = Q(x) that wasn't it either... the equation was either exact (maybe) or substitution/homogeneous

OpenStudy (ikram002p):

i know :D but its not enough to mintion the equation its also good to mintion what u need in it and ur answer is correct

OpenStudy (usukidoll):

yeah it's easier than this http://math.stackexchange.com/questions/656806/determining-which-pairs-of-quantified-statements-are-equivalent that's for sure

OpenStudy (usukidoll):

luckily I'm almost done... just need to figure out the last one. I can translate it, but I just don't know for sure if it's equivalent.

OpenStudy (ikram002p):

this is ur qs ? Determining which pairs of quantified statements are equivalent

OpenStudy (usukidoll):

yeah

OpenStudy (usukidoll):

For all x, P(x) if and only if Q(x) is the left For all x in P(x) if and only if all x in Q(x).

OpenStudy (usukidoll):

logic is for the birds.

OpenStudy (usukidoll):

hmmm if and only if is like one condition.

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