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

Daniaal Sanchez

Daniaal Sanchez

Answered question

2020-12-17

Solve differential equation y(2x2+xy+1)dx+(xy)dy=0

Answer & Explanation

Fatema Sutton

Fatema Sutton

Skilled2020-12-18Added 88 answers

y(2x2+xy+1) dx +(xy) dy =0
y(2x2+xy+1)+(xy) dy  dx =0
y(2x2+xy+1)+(xy)y=0
y=y(2x2xy+1)xy
y=xv dy  dx =v+x dy  dx 
y=y(2x2xy+1)xy(xy)y+y(2x2xy+1)=0
(xy)bigg(v+xdv dx bigg)+xv(2x2xy+1)=0
dv dx =v2x2v2+2v+2x2vx(v1)
dv dx =(x2+1)(v2)vx(v1)
1vbigg(v1v2bigg)dv dx x2+1x
1vbigg(v1v2bigg){dv}=(x2+1)x dx 
 

Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-14Added 2605 answers

Answer is given below (on video)

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