What is the solution for (dy)/(dx)+((y^2))/(x^2)=0 ?

The solution for (dy)/(dx)+((y^2))/(x^2)=0 is y=-x/(1+c_{1)x}

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(dy)/(dx)+((y^2))/(x^2)=0

\frac{d y}{d x} + \frac{( y ^{2} )}{x ^{2}} = 0

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

Solution steps

\frac{d y}{d x} + \frac{( y ^{2} )}{x ^{2}} = 0

Solve separable ODE:

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

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

What is the solution for (dy)/(dx)+((y^2))/(x^2)=0 ?
The solution for (dy)/(dx)+((y^2))/(x^2)=0 is y=-x/(1+c_{1)x}