Solve the following differential equation: `x\ dy-y\ dx=sqrt(x^2+y^2)\ dx`

Explanation

GIven differential equation


`dy/dx=(sqrt(x^2+y^2)+y)/x,x in 0`


clearly, it is a homogeneous differential equation.


`y=vx`and`dy/dx=v+x(dv)/(dx)`in it,we get


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