de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+2y^'-24y=0,y(0)=1,y^'(0)=-2

Lösung

y^{^{''}} + 2 y^{^{'}} - 24 y = 0, y (0) = 1, y^{^{'}} (0) = - 2

Lösung

y = (1 - \frac{3}{5}) e^{4 t} + \frac{3}{5} e^{- 6 t}

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) - 24 y = 0

Solve linear ODE:

y = (1 - \frac{3}{5}) e^{4 t} + \frac{3}{5} e^{- 6 t}

y = (1 - \frac{3}{5}) e^{4 t} + \frac{3}{5} e^{- 6 t}

Graph

Beliebte Beispiele

y^{'''}-13y^{''}+46y^'-48y=0

y^{^{'''}} - 13 y^{^{''}} + 46 y^{^{'}} - 48 y = 0

y^{''}+ay=0,y^'(0)=0

y^{^{''}} + a y = 0, y^{^{'}} (0) = 0

y^{^{''}} + 5 y + 4 y = 0

1/4 (d^2x)/(dt^2)+(dx)/(dt)+x=0

\frac{1}{4} \frac{d ^{2} x}{d t ^{2}} + \frac{d x}{d t} + x = 0

9y^{''}-18y^'+34y=0

9 y^{^{''}} - 18 y^{^{'}} + 34 y = 0