What is the solution for 2x+2y(dy)/(dx)=0 ?

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

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2x+2y(dy)/(dx)=0

2 x + 2 y \frac{d y}{d x} = 0

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

Solution steps

2 x + 2 y \frac{d y}{d x} = 0

Solve separable ODE:

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

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