(dx)/(dt)=3x^2+2x

Lösung

\frac{d x}{d t} = 3 x^{2} + 2 x

x = \frac{2}{e ^{- 2 t - c_{1}} - 3}

Schritte zur Lösung

\frac{d x}{d t} = 3 x^{2} + 2 x

Solve Bernoulli ODE:

x = \frac{2}{e ^{- 2 t - c_{1}} - 3}

x = \frac{2}{e ^{- 2 t - c_{1}} - 3}

\int \frac{5}{3 x} d x

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

x \to 8 - lim (\frac{64 - x ^{2}}{x - 8})

\frac{d}{d x} (x 64 - x^{2})

\frac{d}{d x} (3 \frac{3 x}{x + 2})