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Popular Calculus >

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

Solution

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

Solution

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})

Graph

Popular Examples

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derivative of 2x+2y

derivative of 4arccos(-5x)

Frequently Asked Questions (FAQ)

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})