t^2(dy)/(dt)+ty=6

Lösung

t^{2} \frac{d y}{d t} + t y = 6

y = \frac{6 ln ( t )}{t} + \frac{c _{1}}{t}

Schritte zur Lösung

t^{2} \frac{d y}{d t} + t y = 6

Solve linear ODE:

y = \frac{6 ln ( t )}{t} + \frac{c _{1}}{t}

y = \frac{6 ln ( t )}{t} + \frac{c _{1}}{t}

n = 0 \sum \infty \frac{n}{3} (\frac{2}{3})^{n}

\int_{1}^{5} \frac{x ^{2} - 1}{x} d x

\frac{d}{d x} (4 x^{3} ln (x))

x \to - \infty lim (\frac{2 x ^{2} + 3}{2 x + 3})

x \to - 1 lim (3)