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qrious126
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how would you solve this homogeneous diff. equation?
 one year ago
 one year ago
qrious126 Group Title
how would you solve this homogeneous diff. equation?
 one year ago
 one year ago

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qrious126 Group TitleBest ResponseYou've already chosen the best response.0
\[x(x+y)y \primey(xy)=0\]
 one year ago

qrious126 Group TitleBest ResponseYou've already chosen the best response.0
thanks @Loser66
 one year ago

qrious126 Group TitleBest ResponseYou've already chosen the best response.0
what? lol
 one year ago

qrious126 Group TitleBest ResponseYou've already chosen the best response.0
i tried substituting u = y/x
 one year ago

qrious126 Group TitleBest ResponseYou've already chosen the best response.0
im sort of messing up in the algebra part i think.
 one year ago

qrious126 Group TitleBest ResponseYou've already chosen the best response.0
i got \[(y/x)((y/2x)+1)=c\]
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.1
\[x(x+y)y'y(xy)=0\\y'=\frac{y(xy)}{x(x+y)}\\\quad=\frac{y(1y/x)}{x(1+y/x)}\]
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.1
now substitute u = y/x
 one year ago

qrious126 Group TitleBest ResponseYou've already chosen the best response.0
oh ok thanks!
 one year ago
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