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

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

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(dy)/(dx)= x/y

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

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

Solution steps

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

Solve separable ODE:

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

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

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