What is the solution for derivative of x^2+y^2= derivative of 25 ?

The solution for derivative of x^2+y^2= derivative of 25 is y=sqrt(-x^2+c_{1)},y=-sqrt(-x^2+c_{1)}

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derivative of x^2+y^2= derivative of 25

\frac{d}{d x} (x^{2} + y^{2}) = \frac{d}{d x} (25)

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

Solution steps

\frac{d}{d x} (x^{2} + y^{2}) = \frac{d}{d x} (25)

Solve separable ODE:

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

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

y y^{^{'}} - 2 e^{x} = 0, y (0) = 8

\frac{d y}{d x} = \frac{cos ( x )}{y ^{2}}

\frac{d y}{d t} = - \frac{( \frac{y}{( \frac{4320}{7} )} )}{72}

\frac{d y}{d x} = - a y - b

(x^{2} + 1) y^{^{'}} + 4 x y = x

What is the solution for derivative of x^2+y^2= derivative of 25 ?
The solution for derivative of x^2+y^2= derivative of 25 is y=sqrt(-x^2+c_{1)},y=-sqrt(-x^2+c_{1)}