de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

x^{''}+100x^'+2470=0

Lösung

x^{^{''}} + 100 x^{^{'}} + 2470 = 0

Lösung

x = c_{1} + c_{2} e^{- 100 t} - \frac{247 t}{10}

Schritte zur Lösung

x^{''} (t) + 100 x^{'} (t) + 2470 = 0

Solve linear ODE:

x = c_{1} + c_{2} e^{- 100 t} - \frac{247 t}{10}

x = c_{1} + c_{2} e^{- 100 t} - \frac{247 t}{10}

Graph

Beliebte Beispiele

x^{''}-9x^'-14=0

x^{^{''}} - 9 x^{^{'}} - 14 = 0

x^{''}-10x^'+25x=78t^2e^{5t}

x^{^{''}} - 10 x^{^{'}} + 25 x = 78 t^{2} e^{5 t}

y^{''}+2y^'+y=1,y(0)=2,y^'(0)=1

y^{^{''}} + 2 y^{^{'}} + y = 1, y (0) = 2, y^{^{'}} (0) = 1

y^{''}+4y^'+4y=6e^-2x-8sin(x)+6cos(x)

y^{^{''}} + 4 y^{^{'}} + 4 y = 6 e^{-} 2 x - 8 sin (x) + 6 cos (x)

y^{''}-4y=e^{3x}

y^{^{''}} - 4 y = e^{3 x}