What is the solution for (dy)/(dx)=6x^2-x^2y ?

The solution for (dy)/(dx)=6x^2-x^2y is y=e^{-(x^3)/3+c_{1}}+6

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(dy)/(dx)=6x^2-x^2y

\frac{d y}{d x} = 6 x^{2} - x^{2} y

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 6

Solution steps

\frac{d y}{d x} = 6 x^{2} - x^{2} y

Solve separable ODE:

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 6

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 6

What is the solution for (dy)/(dx)=6x^2-x^2y ?
The solution for (dy)/(dx)=6x^2-x^2y is y=e^{-(x^3)/3+c_{1}}+6