What is the solution for (dy}{dx}=\frac{y(y+1))/x ?

The solution for (dy}{dx}=\frac{y(y+1))/x is y=(e^{c_{1}}x)/(1-e^{c_{1)}x}

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(dy}{dx}=\frac{y(y+1))/x

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

y = \frac{e ^{c_{1}} x}{1 - e ^{c_{1}} x}

Solution steps

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

Solve separable ODE:

y = \frac{e ^{c_{1}} x}{1 - e ^{c_{1}} x}

y = \frac{e ^{c_{1}} x}{1 - e ^{c_{1}} x}

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