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x - y + siny / 2 = 0
一阶导数
1 - dy/dx + (cosy / 2) dy/dx / 2 = 0
1 - dy/dx + (cosy / 4) dy/dx = 0
dy/dx [ 1 + (cosy / 4)] = 1
dy/dx = 1 / [ 1 + (cosy / 4)]
二阶导数
- d²y/d²x - (siny / 4) dy/dx + (cosy / 4) d²y/d²x = 0
d²y/d²x + (siny / 4) dy/dx - (cosy / 4) d²y/d²x = 0
d²y/d²x (1 - cosy /4) + (siny / 4) dy/dx = 0
d²y/d²x (1 - cosy /4)
= - (siny / 4) dy/dx
= - (siny / 4) / [ 1 + (cosy / 4)]
= - siny / ( 4 + cosy)
一阶导数
1 - dy/dx + (cosy / 2) dy/dx / 2 = 0
1 - dy/dx + (cosy / 4) dy/dx = 0
dy/dx [ 1 + (cosy / 4)] = 1
dy/dx = 1 / [ 1 + (cosy / 4)]
二阶导数
- d²y/d²x - (siny / 4) dy/dx + (cosy / 4) d²y/d²x = 0
d²y/d²x + (siny / 4) dy/dx - (cosy / 4) d²y/d²x = 0
d²y/d²x (1 - cosy /4) + (siny / 4) dy/dx = 0
d²y/d²x (1 - cosy /4)
= - (siny / 4) dy/dx
= - (siny / 4) / [ 1 + (cosy / 4)]
= - siny / ( 4 + cosy)
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