(dy)/(dx)=y-y^5

Lösung

\frac{d y}{d x} = y - y^{5}

y = 4 \frac{1}{- e ^{- 4 x - c_{1}} + 1}, y = - 4 \frac{1}{- e ^{- 4 x - c_{1}} + 1}

Schritte zur Lösung

\frac{d y}{d x} = y - y^{5}

Solve Bernoulli ODE:

y = 4 \frac{1}{- e ^{- 4 x - c_{1}} + 1}, y = - 4 \frac{1}{- e ^{- 4 x - c_{1}} + 1}

y = 4 \frac{1}{- e ^{- 4 x - c_{1}} + 1}, y = - 4 \frac{1}{- e ^{- 4 x - c_{1}} + 1}

\frac{d ^{2} y}{d x ^{2}} - 2 \cdot \frac{d y}{d x} + a y = 0, a > 1

d er i v a t i v e \frac{x ^{5} + 1}{x}

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