y=2x*arctan(y/x)确定y=y(x),求y',y’’其中说满足2arctan(y/x)=y/x,请问是怎么求出来的?

Question

y=2x*arctan(y/x)确定y=y(x),求y',y’’
其中说满足2arctan(y/x)=y/x,请问是怎么求出来的?

Answer 1

y=2x*arctan(y/x)
两边除以x