(x+y)dx-xdy=0
(x+y)dx-xdy=0 (x+y)dx=xdy dx/dy=x/x+y lol whats ur qs ?
exact equation?
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
y = xu y' = x du + u dx
(x+y)dx-xdy=0 xdx+ydx-xdy = 0 xdx+xudx-x(xdu+udx) = 0 xdx+ xudx-x^2du-xudx=0
xdx-x^2du+xudx-xudx = 0 xdx-x^2du = 0 -x^2 du = -xdx
du = -x/-x^2 dx
du = 1/x dx
u = ln x + c
oops forgot one more subsitution ... u = y/x y/x = lnx +C y=x(lnx+C) y = xlnx + Cx. hmm this problem looks familiar...
woo got it correct! http://www.wolframalpha.com/input/?i=%28x%2By%29dx-xdy%3D0
yeah it does look familiar....this was one of the problems in my homework from last semester O_o
first order differential equations. I remember those.. substitution/ homogeneous is the hardest part of the course right next to slope fields.
i think all kind of this equation r the same hmm just know how to do it once then all examples wont be different
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.
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
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
yeah it's easier than this http://math.stackexchange.com/questions/656806/determining-which-pairs-of-quantified-statements-are-equivalent that's for sure
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.
this is ur qs ? Determining which pairs of quantified statements are equivalent
yeah
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).
logic is for the birds.
hmmm if and only if is like one condition.
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