(x^3+e^y)(dy)/(dx)=3x^2

Lösung

(x^{3} + e^{y}) \frac{d y}{d x} = 3 x^{2}

y = W (\frac{x ^{3}}{e ^{c_{1}}}) + c_{1}

Schritte zur Lösung

(x^{3} + e^{y}) \frac{d y}{d x} = 3 x^{2}

Solve exact ODE:

y = W (\frac{x ^{3}}{e ^{c_{1}}}) + c_{1}

y = W (\frac{x ^{3}}{e ^{c_{1}}}) + c_{1}

x \to \infty lim (x - 1)

\frac{d ^{2} y}{d t ^{2}} + 2 \frac{d y}{d t} + y = 0

\frac{d}{d x} (\frac{x}{( x - 9 ) ^{2}})

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\frac{\partial}{\partial y} (\frac{1}{2} y)