What is the solution for (dy)/(dx)+sqrt((((1-y^2))/((1-x^2))))=0 ?

The solution for (dy)/(dx)+sqrt((((1-y^2))/((1-x^2))))=0 is y=sin(-arcsin(x)+c_{1})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+sqrt((((1-y^2))/((1-x^2))))=0

\frac{d y}{d x} + (\frac{( 1 - y ^{2} )}{( 1 - x ^{2} )}) = 0

y = sin (- arcsin (x) + c_{1})

Solution steps

\frac{d y}{d x} + (\frac{( 1 - y ^{2} )}{( 1 - x ^{2} )}) = 0

Solve separable ODE:

y = sin (- arcsin (x) + c_{1})

y = sin (- arcsin (x) + c_{1})

y y^{^{'}} - 2 e x = 0, y (0) = 3

x \cdot \frac{d y}{d x} - y = 6 x^{4} y

x y^{^{'}} + y = \frac{1}{3}

\frac{d y}{d x} = y \cdot tan (x)

y^{^{'}} = 12 x y, y (0) = 1

What is the solution for (dy)/(dx)+sqrt((((1-y^2))/((1-x^2))))=0 ?
The solution for (dy)/(dx)+sqrt((((1-y^2))/((1-x^2))))=0 is y=sin(-arcsin(x)+c_{1})