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

Lösung

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

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

Schritte zur Lösung

\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

\int 3 x + cos (3 x) d x

\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})

in v erse l a pl a ce \frac{16}{s ( s ^{2} + 16 )}