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})

\frac{d y}{d x} y = \frac{1}{x ^{10}}

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

y^{^{'}} = y^{2} - 4

y^{^{'}} = y^{2} - 20 y + 100

\frac{d y}{d x} y = x^{3}

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})