Solve differential equation \frac{dy}{dx}= \frac{x}{y}, \ y(0)= -8

chillywilly12a 2021-03-08 Answered
Solve differential equation dydx=xy, y(0)=8
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Expert Answer

curwyrm
Answered 2021-03-09 Author has 87 answers
ydy=xdx
ydy=xdx
y22=x22+c
Now we use initial condition
y(0)=8
Substitute the value we get
(8)22=022+c
642=c
c=32
y22=x22+32
y2=x2+64
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