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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

y = c_{1} x^{2} - 1 + 1

Solution steps

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

Solve separable ODE:

y = c_{1} x^{2} - 1 + 1

y = c_{1} x^{2} - 1 + 1

\frac{d}{d x} (7 x^{2} + 1)

\int \frac{1}{2 + x - x ^{2}} d x

\int \frac{4 sin ^{3} ( x )}{x} d x

\int \frac{- 2 x}{x ^{2} + 1} d x

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

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