What is the solution for (dy)/(dx)-x/y =0 ?

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

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(dy)/(dx)-x/y =0

\frac{d y}{d x} - \frac{x}{y} = 0

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

Solution steps

\frac{d y}{d x} - \frac{x}{y} = 0

Solve separable ODE:

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

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

(t^{3} + 7 t^{3} x^{2}) d t + x e^{t^{4}} d x = 0, x (0) = 0

y^{^{'}} = 3 (y - 1)^{\frac{2}{3}}

y^{^{'}} + \frac{1}{2} (x - 2) y^{2} = 0

x^{2} y^{^{'}} = 1 + y

y^{^{'}} = \frac{11 cos ( 11 x )}{3 + 2 y}, y (0) = - 1

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