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

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

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

y = x

Solution steps

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

Solve separable ODE:

y = x

y = x

\int sin (t) e^{- \frac{2}{3} t} d t

\int_{1}^{2} x^{2} e^{x^{3} - 1} d x

y^{^{''}} + 9 y = (sec (3 t))^{2}

\frac{d y}{d x} + \frac{2 y}{x} = \frac{sin ( x )}{x ^{2}}

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