What is the solution for (dy)/(dx)=(xsqrt(4-y^2))/(sqrt(1-x^2)) ?

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

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(dy)/(dx)=(xsqrt(4-y^2))/(sqrt(1-x^2))

\frac{d y}{d x} = \frac{x 4 - y ^{2}}{1 - x ^{2}}

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

Solution steps

\frac{d y}{d x} = \frac{x 4 - y ^{2}}{1 - x ^{2}}

Solve separable ODE:

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

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

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