de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+2y^'+ay=0

Lösung

y^{^{''}} + 2 y^{^{'}} + a y = 0

Lösung

y = c_{1} e^{(- 1 + - a + 1) t} + c_{2} e^{(- - a + 1 - 1) t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{(- 1 + - a + 1) t} + c_{2} e^{(- - a + 1 - 1) t}

y = c_{1} e^{(- 1 + - a + 1) t} + c_{2} e^{(- - a + 1 - 1) t}

Graph

Beliebte Beispiele

7y^{''}+y^'-y=0

7 y^{^{''}} + y^{^{'}} - y = 0

y^{''''}+49y^{''}=0

y^{^{''''}} + 49 y^{^{''}} = 0

(d^2y)/(dx^2)-6(dy)/(dx)+25y=0

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 25 y = 0

64y^{''}+48y^'+9y=0

64 y^{^{''}} + 48 y^{^{'}} + 9 y = 0

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

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