Solve differential equation dy/dx= (y^2-1)/(x^2-1)

allhvasstH 2021-02-20 Answered
Solve differential equation dy/dx=(y21)/(x21)
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Jaylen Fountain
Answered 2021-02-21 Author has 170 answers

dy/(y21)=dx/(x21)
dy/y21=dx/(x21)
dy/((y1)(y+1))=dx/((x1)(x+1))
1/2dy/(y1)1/2dy/(y+1)=1/2dx/(x1)1/2dx/(x+1)
1/2ln(y1)1/2ln(y+1)=1/2ln(x1)1/2ln(x+1)+C
1/2ln((y1)/(y+1))=1/2ln((x1)/(x+1))+C
ln((y1)/(y+1))=ln((x1)/(x+1))+C

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Jeffrey Jordon
Answered 2021-12-25 Author has 2313 answers

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