de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(d^2x)/(dt^2)+6(dx)/(dt)+8x=5sin(3t)

Lösung

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 8 x = 5 sin (3 t)

Lösung

x = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} - \frac{1}{65} sin (3 t) - \frac{18}{65} cos (3 t)

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 8 x = 5 sin (3 t)

Solve linear ODE:

x = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} - \frac{1}{65} sin (3 t) - \frac{18}{65} cos (3 t)

x = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} - \frac{1}{65} sin (3 t) - \frac{18}{65} cos (3 t)

Graph

Beliebte Beispiele

(d^2)/(dx^2)(x^{9/2}e^x)

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

limit as x approaches infinity of-2(x)

x \to \infty lim (- 2 (x))

sum from n=1 to infinity of (9n)/(10)

n = 1 \sum \infty \frac{9 n}{10}

steigung (-10,-3),(4,-3)

s l o p e (- 10, - 3), (4, - 3)

integral of e^{9x-14}

\int e^{9 x - 14} d x