y'=y/(2x)+x^2/(2y) |||| *((2y)/x)
2yy'*(1/x)+y^2*(-1/x^2)=x
[(y^2)'=2yy'; (1/x)'=-1/x^2]
(y^2*(1/x))'=x
(y^2)/x=(x^2)/2+C
y^2=x((x^2)/2+C)
y=±√(x((x^2)/2+C))
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y'=y/(2x)+x^2/(2y) |||| *((2y)/x)
2yy'*(1/x)+y^2*(-1/x^2)=x
[(y^2)'=2yy'; (1/x)'=-1/x^2]
(y^2*(1/x))'=x
(y^2)/x=(x^2)/2+C
y^2=x((x^2)/2+C)
y=±√(x((x^2)/2+C))