(dy)/(dx)+2xy=2x^3

Lösung

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

y = x^{2} - 1 + \frac{c _{1}}{e ^{x^{2}}}

Schritte zur Lösung

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

Solve linear ODE:

y = x^{2} - 1 + \frac{c _{1}}{e ^{x^{2}}}

y = x^{2} - 1 + \frac{c _{1}}{e ^{x^{2}}}

in v erse l a pl a ce \frac{3 ( s + 3 )}{s ^{2} + 6 s + 8}

x \to \infty lim (3^{x} - x)

n = 1 \sum \infty \frac{n}{3 n + 2}

\frac{\partial}{\partial x} (y^{5} cos (6 x) \cdot 6)

\frac{d}{d x} (\frac{1 + ln ( x )}{1 - ln ( x )})