xy'+y=-xy^2的通解
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xy'+y=-xy^2的通解
xy'+y=-xy^2的通解
xy'+y=-xy^2的通解
y'为一次导?
xy'/y^2+1/y=-x
-x(1/y)'+1/y=-x
1/y=t
-xt'+t=-x
(t'x-t)/x^2=1/x
(t/x)'=1/x
t/x=lnx+c
t=xlnx+cx
1/y=xlnx+cx
y=1/(xlnx+cx)