de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-4y^'-5y=0,y(1)=0,y^'(1)=5

Lösung

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (1) = 0, y^{^{'}} (1) = 5

Lösung

y = \frac{5 e ^{5 t - 5}}{6} - \frac{5 e}{6} e^{- t}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) - 5 y = 0

Solve linear ODE:

y = \frac{5 e ^{5 t - 5}}{6} - \frac{5 e}{6} e^{- t}

y = \frac{5 e ^{5 t - 5}}{6} - \frac{5 e}{6} e^{- t}

Graph

Beliebte Beispiele

x^{'''}-12x^{''}+48x^'-64x=0

x^{^{'''}} - 12 x^{^{''}} + 48 x^{^{'}} - 64 x = 0

y^{^{''}} = 4 y^{^{'}} - 3 y

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

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

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

x^{''}+2x^'-3x=0,x(0)=-1,x^'(0)=3

x^{^{''}} + 2 x^{^{'}} - 3 x = 0, x (0) = - 1, x^{^{'}} (0) = 3