de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-4y^'-96y=0,y(0)=13,y^'(0)=36

Lösung

y^{^{''}} - 4 y^{^{'}} - 96 y = 0, y (0) = 13, y^{^{'}} (0) = 36

Lösung

y = 7 e^{12 t} + 6 e^{- 8 t}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) - 96 y = 0

Solve linear ODE:

y = 7 e^{12 t} + 6 e^{- 8 t}

y = 7 e^{12 t} + 6 e^{- 8 t}

Graph

Beliebte Beispiele

y^{''}+25y^'+1/(0.046)y=0

y^{^{''}} + 25 y^{^{'}} + \frac{1}{0.046} y = 0

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

(d^2y)/(dx^2)+2(dy)/(dx)=0

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} = 0

y^{''}-3y^'=0,y(0)=2-2e^3,y(1)=0

y^{^{''}} - 3 y^{^{'}} = 0, y (0) = 2 - 2 e^{3}, y (1) = 0

y^{''}-19y^'+90y=0

y^{^{''}} - 19 y^{^{'}} + 90 y = 0