What is the solution for (dy}{dx}-y/x =-\frac{y^2)/x ?

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

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(dy}{dx}-y/x =-\frac{y^2)/x

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

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

Solution steps

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

Solve separable ODE:

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

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

x \frac{d y}{d x} = e^{6 y + x}

\frac{d t}{d x} = \frac{ln ( x )}{x ^{2} t}

e^{y} y^{^{'}} = \frac{( ln ( t ) ) ^{2}}{t}

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

\frac{d y}{d x} x^{2} - y^{2} = 16

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