y'=(cosxsiny+(tanx)^2)/sinxcosy
←→ sinxcosy dy=cosxsinydx+(tanx)^2∙dx
←→ cosy dy/sinx – cosxsinydx/(sinx)^2 = dx/(cosx)^2
←→ d(siny/sinx) = dx/(cosx)^2
←→ d(siny/sinx) = dtanx
←→ siny/sinx-tanx=c
通解为 siny/sinx-tanx=c
y'=(cosxsiny+(tanx)^2)/sinxcosy
←→ sinxcosy dy=cosxsinydx+(tanx)^2∙dx
←→ cosy dy/sinx – cosxsinydx/(sinx)^2 = dx/(cosx)^2
←→ d(siny/sinx) = dx/(cosx)^2
←→ d(siny/sinx) = dtanx
←→ siny/sinx-tanx=c
通解为 siny/sinx-tanx=c