en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

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

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

limit as x approaches 0 of ((1/2)^x-1)/x

x \to 0 lim (\frac{( \frac{1}{2} ) ^{x} - 1}{x})

f(x)=sqrt(sec(2x))

f (x) = sec (2 x)

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})