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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\int tan (θ) d θ

\int x (x - 1)^{10} d x

(x^{3} \cdot cos (x))^{^{'}}

y^{\frac{1}{2}} \cdot \frac{d y}{d x} + y^{\frac{3}{2}} = 1

\int \frac{1}{3 sin ^{2} ( x ) + 5 cos ^{2} ( x )} d x

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