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数学
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(x/1-y)dx=(1-x2)ydy的通解
很着急,感激不尽啊
人气:145 ℃ 时间:2020-05-29 00:46:06
解答
解 xdx/(1-y)=(1-x^2)ydy
(1-y)ydy=x/(1-x^2)dx
∫(y-y^2)dy= (-1/2)*∫ 1/(1-x^2)d(1-x^2)
(y^2/2)-(y^3/3)=-(1/2)ln|1-x^2|+C
这是可分离变量型的
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