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)=3,y(-1)=9

Lösung

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (- 1) = 3, y (- 1) = 9

Lösung

y = (3 e^{5} - e^{6} c_{2}) e^{5 t} + c_{2} e^{- t}

Schritte zur Lösung

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

Solve linear ODE:

y = (3 e^{5} - e^{6} c_{2}) e^{5 t} + c_{2} e^{- t}

y = (3 e^{5} - e^{6} c_{2}) e^{5 t} + c_{2} e^{- t}

Graph

Beliebte Beispiele

y^{'''}-14y^{''}+51y^'-54y=0

y^{^{'''}} - 14 y^{^{''}} + 51 y^{^{'}} - 54 y = 0

x^{''}+6x^'+8x=0,x(0)=1,x^'(1)=2

x^{^{''}} + 6 x^{^{'}} + 8 x = 0, x (0) = 1, x^{^{'}} (1) = 2

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

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

y^{''}+8y^'+32y=0,y^0=1,y^'0=-4

y^{^{''}} + 8 y^{^{'}} + 32 y = 0, y^{0} = 1, y^{^{'}} 0 = - 4

(d^2y)/(dx^2)+3(dy)/(dx)+8y=0

\frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} + 8 y = 0