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

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

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

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

y = \frac{c _{1}}{x - 1}

Solution steps

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

Solve separable ODE:

y = \frac{c _{1}}{x - 1}

y = \frac{c _{1}}{x - 1}

y = \frac{2 x + 1}{x}

\frac{d}{d t} (- 6 t)

\frac{2 x}{x ^{2} + 2 x} + x + 5

x \to 1 lim (x^{\frac{1}{x - 1}})

\frac{d}{d x} (\frac{1}{( 1 + x )})

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