求解initial value problem y =-y/x y(1)=1?

2017-02-19 8:40 pm

回答 (1)

2017-02-20 7:30 am
✔ 最佳答案
求解initial value problem y’=-y/x,y(1)=1?
Sol
y’=-y/x
dy/dx=-y/x
xdy=-ydx
-dy/y=dx/x
-lny=lnc+c1
e^(-lny)=e^(lnx+c1)
1/y=c2*x
xy=c3
1=c3
y(1)=1
xy=1


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