What is the solution for (dy)/(dx)=4xsqrt(4-y^2) ?

The solution for (dy)/(dx)=4xsqrt(4-y^2) is y=2sin(2x^2+c_{1})

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(dy)/(dx)=4xsqrt(4-y^2)

\frac{d y}{d x} = 4 x 4 - y^{2}

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

Solution steps

\frac{d y}{d x} = 4 x 4 - y^{2}

Solve separable ODE:

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

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

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What is the solution for (dy)/(dx)=4xsqrt(4-y^2) ?
The solution for (dy)/(dx)=4xsqrt(4-y^2) is y=2sin(2x^2+c_{1})