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)

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

y = sin (x + c_{1})

Solution steps

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

Solve separable ODE:

y = sin (x + c_{1})

y = sin (x + c_{1})

a re a y = x^{2} - 3, y = 6

a re a 4 cos (7 x), 4 - 4 cos (7 x)

d er i v a t i v e (t^{2} - 2 t) (t^{2} + 2 t)

\frac{\partial}{\partial x} (9 y^{4} cos (x^{2}))

d er i v a t i v e f (x) = \frac{1}{x ^{2} - 9}

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})