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

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

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

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

y = sin (x + c_{1})

Solution steps

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

Solve separable ODE:

y = sin (x + c_{1})

y = sin (x + c_{1})

\int_{0}^{1} (e^{x}) d x

\int \frac{sin ^{3} ( x )}{cos ( x )} d x

\int_{0}^{1} t e^{- t} d t

\frac{5}{s ( s - 1 )}

x \to 2 lim (\frac{x ^{2} + 3}{x - 2})

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