What is the solution for (dy)/(dx)=-y(x^2-7) ?

The solution for (dy)/(dx)=-y(x^2-7) is y=e^{-(x^3)/3+7x+c_{1}}

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(dy)/(dx)=-y(x^2-7)

\frac{d y}{d x} = - y (x^{2} - 7)

y = e^{- \frac{x ^{3}}{3} + 7 x + c_{1}}

Solution steps

\frac{d y}{d x} = - y (x^{2} - 7)

Solve separable ODE:

y = e^{- \frac{x ^{3}}{3} + 7 x + c_{1}}

y = e^{- \frac{x ^{3}}{3} + 7 x + c_{1}}

What is the solution for (dy)/(dx)=-y(x^2-7) ?
The solution for (dy)/(dx)=-y(x^2-7) is y=e^{-(x^3)/3+7x+c_{1}}