Solve differential equation y(2x-2+xy+1)dx+(x-y)dy=0

Daniaal Sanchez 2020-12-17 Answered
Solve differential equation y(2x2+xy+1)dx+(xy)dy=0
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Fatema Sutton
Answered 2020-12-18 Author has 88 answers
y(2x2+xy+1)dx+(xy)dy=0
y(2x2+xy+1)+(xy)dydx=0
y(2x2+xy+1)+(xy)y=0
y=y(2x2xy+1)xy
y=xvdydx=v+xdydx
y=y(2x2xy+1)xy(xy)y+y(2x2xy+1)=0
(xy)bigg(v+xdvdxbigg)+xv(2x2xy+1)=0
dvdx=v2x2v2+2v+2x2vx(v1)
dvdx=(x2+1)(v2)vx(v1)
1vbigg(v1v2bigg)dvdxx2+1x
Integrating both sides with respect to x
1vbigg(v1v2bigg){dv}=(x2+1)xdx
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Jeffrey Jordon
Answered 2021-12-14 Author has 2262 answers

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