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

The solution for 2y*(dy)/(dx)=-x^2 is y=sqrt(-(x^3)/3+c_{1)},y=-sqrt(-(x^3)/3+c_{1)}

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

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

y = - \frac{x ^{3}}{3} + c_{1}, y = - - \frac{x ^{3}}{3} + c_{1}

Solution steps

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

Solve separable ODE:

y = - \frac{x ^{3}}{3} + c_{1}, y = - - \frac{x ^{3}}{3} + c_{1}

y = - \frac{x ^{3}}{3} + c_{1}, y = - - \frac{x ^{3}}{3} + c_{1}

What is the solution for 2y*(dy)/(dx)=-x^2 ?
The solution for 2y*(dy)/(dx)=-x^2 is y=sqrt(-(x^3)/3+c_{1)},y=-sqrt(-(x^3)/3+c_{1)}