(dy)/(dx)+xy=y^4

Lösung

\frac{d y}{d x} + x y = y^{4}

y = 3 \frac{1}{e ^{\frac{3 x ^{2}}{2}} \cdot \int - 3 e ^{- \frac{3 x ^{2}}{2}} d x}

Schritte zur Lösung

\frac{d y}{d x} + x y = y^{4}

Solve Bernoulli ODE:

y = 3 \frac{1}{e ^{\frac{3 x ^{2}}{2}} \cdot \int - 3 e ^{- \frac{3 x ^{2}}{2}} d x}

y = 3 \frac{1}{e ^{\frac{3 x ^{2}}{2}} \cdot \int - 3 e ^{- \frac{3 x ^{2}}{2}} d x}

\int \frac{x + 9}{x ^{2} + 9} d x

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