设y=y(x)满足(1+x2)y′xy且y(0)=1,则y(x)=___________.

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问题 设y=y(x)满足(1+x2)y′xy且y(0)=1,则y(x)=___________.

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答案将原方程变量分离得[*]积分得 [*] 再由y(0)=1得[*]

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