de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+2y^'-8y=0,y^'(0)=14

Lösung

y^{^{''}} + 2 y^{^{'}} - 8 y = 0, y^{^{'}} (0) = 14

Lösung

y = (7 + 2 c_{2}) e^{2 t} + c_{2} e^{- 4 t}

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) - 8 y = 0

Solve linear ODE:

y = (7 + 2 c_{2}) e^{2 t} + c_{2} e^{- 4 t}

y = (7 + 2 c_{2}) e^{2 t} + c_{2} e^{- 4 t}

Graph

Beliebte Beispiele

9y^{''}+4y^'+5y=0,y(0)=2,y^'(0)=0

9 y^{^{''}} + 4 y^{^{'}} + 5 y = 0, y (0) = 2, y^{^{'}} (0) = 0

4 y^{^{''}} - 36 y = 0

100y^{''}+60y^'+90y=0,y(1)=9,y^'(1)=2

100 y^{^{''}} + 60 y^{^{'}} + 90 y = 0, y (1) = 9, y^{^{'}} (1) = 2

x^{'''}+9*x^{''}+x^'+9x=0

x^{^{'''}} + 9 \cdot x^{^{''}} + x^{^{'}} + 9 x = 0

(D^3-3D^2-10D)y=0

(D^{3} - 3 D^{2} - 10 D) y = 0