What is the solution for (dy)/(dx)=2xsqrt(1-y^2) ?

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

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(dy)/(dx)=2xsqrt(1-y^2)

\frac{d y}{d x} = 2 x 1 - y^{2}

y = sin (x^{2} + c_{1})

Solution steps

\frac{d y}{d x} = 2 x 1 - y^{2}

Solve separable ODE:

y = sin (x^{2} + c_{1})

y = sin (x^{2} + c_{1})

d y - (y - 1) 2 d x = 0

x \to 5 lim (\frac{∣ 5 - x ∣}{5 - x})

\frac{\partial}{\partial x} (e^{x + 6 y})

ln (x^{2} + 2 x) (x^{4} + 3 x^{2})^{5}

\frac{d}{d x} (12 - 3 x^{2})

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