Solve differential equation x^2 y'+xy= x^2+y^2

vazelinahS 2021-01-10 Answered
Solve differential equationx2y+xy=x2+y2
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Tuthornt
Answered 2021-01-11 Author has 107 answers

x2y+xy=x2+y2
y+y/x=1+(y/x)2
Put y=vx
y=x+xv
v+xv+v=1+v
vx=1+v22v
(v)((1v)2)=1x
(dv)((1v)2)=dxx
1/(1v)=logx+c
But v=y/x
x/(xy)=logx+c

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Jeffrey Jordon
Answered 2021-12-14 Author has 2047 answers

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