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ysinx+e^(x-y) =1
x=0
0 +e^(-y(0)) =1
y(0)=0
(0,0)
ysinx+e^(x-y) =1
两边求漏弊陆导返顷
ycosx + sinx.y' +(1-y')e^(x-y) =0
[e^(x-y) -sinx]y'= ycosx +e^(x-y)
y'= [ycosx +e^(x-y)]/[e^(x-y) -sinx]
y'|(x,y)=(0,0)
=[0 +e^0]/卜亮[e^0 -0]
=1
x=0
0 +e^(-y(0)) =1
y(0)=0
(0,0)
ysinx+e^(x-y) =1
两边求漏弊陆导返顷
ycosx + sinx.y' +(1-y')e^(x-y) =0
[e^(x-y) -sinx]y'= ycosx +e^(x-y)
y'= [ycosx +e^(x-y)]/[e^(x-y) -sinx]
y'|(x,y)=(0,0)
=[0 +e^0]/卜亮[e^0 -0]
=1
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