e的y次方再乘以sint—y+1=0 求y(t)的导数.

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e的y次方再乘以sint—y+1=0 求y(t)的导数.
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e的y次方再乘以sint—y+1=0 求y(t)的导数.
e的y次方再乘以sint—y+1=0 求y(t)的导数.

e的y次方再乘以sint—y+1=0 求y(t)的导数.
(e^y) sint-y+1=0
两边同时对t求导得
(e^y) y 'sint+(e^y)cost-y '=0
得y '=[(e^y)cost]/[1-(e^y)sint]

两边对t求导

隐函数求导,y=y(t),
e^y*(sint-y+1)=0,两边求导,
e^y*y'(sint-y+1)+e^y(cost-1)=0
则y'=(1-cost)/(sint-y+1)