What is the solution for (dy)/(dx)=(y^2-1)/(x^2-1),y(9)=9 ?

The solution for (dy)/(dx)=(y^2-1)/(x^2-1),y(9)=9 is y=x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=(y^2-1)/(x^2-1),y(9)=9

\frac{d y}{d x} = \frac{y ^{2} - 1}{x ^{2} - 1}, y (9) = 9

y = x

Solution steps

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

Solve separable ODE:

y = x

y = x

\frac{d}{d x} (\frac{x ^{2}}{( 3 + x )})

\frac{\partial}{\partial x} (x^{7})

\frac{d}{d y} ((\frac{1}{y ^{2}} - \frac{3}{y ^{4}}) (y + 9 y^{3}))

2 csc (1 - 3 x)

f (x) = (2 x + 3)^{5}, at x = - 1

What is the solution for (dy)/(dx)=(y^2-1)/(x^2-1),y(9)=9 ?
The solution for (dy)/(dx)=(y^2-1)/(x^2-1),y(9)=9 is y=x