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Popular >

xy^'=sqrt(1-y^2)

Solution

x y^{^{'}} = 1 - y^{2}

Solution

y = sin (ln (x) + c_{1})

Solution steps

x y^{'} (x) = 1 - y^{2}

Solve separable ODE:

y = sin (ln (x) + c_{1})

y = sin (ln (x) + c_{1})

Graph

Popular Examples

derivative of f(x)=-2ln(x)derivative of

f (x) = - 2 ln (x)

limit as x approaches infinity of 9+4/x

x \to \infty lim (9 + \frac{4}{x})

derivative of-512sin(2x)

\frac{d}{d x} (- 512 sin (2 x))

integral of (1-(x^2)/4-(y^2)/9)

\int (1 - \frac{x ^{2}}{4} - \frac{y ^{2}}{9}) d x

y^{''}-3y^'+2y=0,y(0)= 1/2 ,y^'(0)=-3/4

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = \frac{1}{2}, y^{^{'}} (0) = - \frac{3}{4}

Frequently Asked Questions (FAQ)

What is the solution for xy^'=sqrt(1-y^2) ?
The solution for xy^'=sqrt(1-y^2) is y=sin(ln(x)+c_{1})