※ 引述《semmy214 (黃小六)》之銘言:
: https://imgur.com/a/ESOiOse
: dy=-e^-x*y^2dx+ydx+e^xdx
: 乘完後就不知怎麼下手~
: 求高手協助~
y' = -exp(-x)y^2 + y + exp(x)
=> exp(x)y' - exp(x)y = -y^2 + exp(2x)
=> [exp(x)/y]' = 1 - [exp(x)/y]^2
=> (1/2)ln[(y + exp(x))/(y - exp(x))] = x + c
=> |(y + exp(x))/(y - exp(x))| = Aexp(2x)
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