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)=3

Lösung

y^{^{''}} + 2 y^{^{'}} - 8 y = 0, y (0) = 3

Lösung

y = (3 - 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 = (3 - c_{2}) e^{2 t} + c_{2} e^{- 4 t}

y = (3 - c_{2}) e^{2 t} + c_{2} e^{- 4 t}

Graph

Beliebte Beispiele

S^{''}+16S=0,S(0)=4,S^'(0)=2

S^{^{''}} + 16 S = 0, S (0) = 4, S^{^{'}} (0) = 2

y^{''}-y^'-20y=0,y(0)=α,y^'(0)=2

y^{^{''}} - y^{^{'}} - 20 y = 0, y (0) = α, y^{^{'}} (0) = 2

144y^{''}-312y^'+169y=0

144 y^{^{''}} - 312 y^{^{'}} + 169 y = 0

y^{''}+25y=0,y(0)=1,y^'(0)=-1

y^{^{''}} + 25 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

y^{''}-18y^'+97y=0

y^{^{''}} - 18 y^{^{'}} + 97 y = 0