What is the solution for sqrt(1-y^2)+(1+x^2)*(dy)/(dx)=0 ?

The solution for sqrt(1-y^2)+(1+x^2)*(dy)/(dx)=0 is y=sin(-arctan(x)+c_{1})

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sqrt(1-y^2)+(1+x^2)*(dy)/(dx)=0

1 - y^{2} + (1 + x^{2}) \cdot \frac{d y}{d x} = 0

y = sin (- arctan (x) + c_{1})

Solution steps

1 - y^{2} + (1 + x^{2}) \cdot \frac{d y}{d x} = 0

Solve separable ODE:

y = sin (- arctan (x) + c_{1})

y = sin (- arctan (x) + c_{1})

What is the solution for sqrt(1-y^2)+(1+x^2)*(dy)/(dx)=0 ?
The solution for sqrt(1-y^2)+(1+x^2)*(dy)/(dx)=0 is y=sin(-arctan(x)+c_{1})