What is the solution for (dy)/(dx)=x^2(1-y) ?

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

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(dy)/(dx)=x^2(1-y)

\frac{d y}{d x} = x^{2} (1 - y)

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

Solution steps

\frac{d y}{d x} = x^{2} (1 - y)

Solve separable ODE:

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

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

\frac{\partial}{\partial y} (2 x^{2} y - 5 y^{2})

\int \frac{cos ( x )}{( 1 + sin ( x ) ) ^{5}} d x

\frac{d}{d x} ((e^{x^{2}} + 4)^{2} \cdot (4 x)^{3 x})

\frac{16}{s ( s ^{2} + 16 )}

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