What is the solution for x(dy)/(dx)5y=x^2-x ?

The solution for x(dy)/(dx)5y=x^2-x is y=sqrt((x^2)/5-2/5 x+c_{1)},y=-sqrt((x^2)/5-2/5 x+c_{1)}

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x(dy)/(dx)5y=x^2-x

x \frac{d y}{d x} 5 y = x^{2} - x

y = \frac{x ^{2}}{5} - \frac{2}{5} x + c_{1}, y = - \frac{x ^{2}}{5} - \frac{2}{5} x + c_{1}

Solution steps

x \frac{d y}{d x} 5 y = x^{2} - x

Solve separable ODE:

y = \frac{x ^{2}}{5} - \frac{2}{5} x + c_{1}, y = - \frac{x ^{2}}{5} - \frac{2}{5} x + c_{1}

y = \frac{x ^{2}}{5} - \frac{2}{5} x + c_{1}, y = - \frac{x ^{2}}{5} - \frac{2}{5} x + c_{1}

What is the solution for x(dy)/(dx)5y=x^2-x ?
The solution for x(dy)/(dx)5y=x^2-x is y=sqrt((x^2)/5-2/5 x+c_{1)},y=-sqrt((x^2)/5-2/5 x+c_{1)}