de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

10y^{''}+90y^'+140y=0,y(0)=0,y^'(0)=1

Lösung

10 y^{^{''}} + 90 y^{^{'}} + 140 y = 0, y (0) = 0, y^{^{'}} (0) = 1

Lösung

y = \frac{1}{5} e^{- 2 t} - \frac{1}{5} e^{- 7 t}

Schritte zur Lösung

10 y^{''} (t) + 90 y^{'} (t) + 140 y = 0

Solve linear ODE:

y = \frac{1}{5} e^{- 2 t} - \frac{1}{5} e^{- 7 t}

y = \frac{1}{5} e^{- 2 t} - \frac{1}{5} e^{- 7 t}

Graph

Beliebte Beispiele

y^{''}-8y^'+3y=0

y^{^{''}} - 8 y^{^{'}} + 3 y = 0

(d^2x)/(dt^2)+6(dx)/(dt)+9x=0

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 9 x = 0

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

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

y^{''''}+y^{''}+9y=0

y^{^{''''}} + y^{^{''}} + 9 y = 0

y^{''}-7y^'+10y=0,y(0)=1,y^'(0)=-1

y^{^{''}} - 7 y^{^{'}} + 10 y = 0, y (0) = 1, y^{^{'}} (0) = - 1