de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+6y^'+9y=x

Lösung

y^{^{''}} + 6 y^{^{'}} + 9 y = x

Lösung

y = c_{1} e^{- 3 x} + c_{2} x e^{- 3 x} + \frac{x}{9} - \frac{2}{27}

Schritte zur Lösung

y^{''} (x) + 6 y^{'} (x) + 9 y = x

Solve linear ODE:

y = c_{1} e^{- 3 x} + c_{2} x e^{- 3 x} + \frac{x}{9} - \frac{2}{27}

y = c_{1} e^{- 3 x} + c_{2} x e^{- 3 x} + \frac{x}{9} - \frac{2}{27}

Graph

Beliebte Beispiele

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

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

y^{''}=2y+tan^3(x),y^1(x)= 1/2 tan(x)

y^{^{''}} = 2 y + tan^{3} (x), y^{1} (x) = \frac{1}{2} tan (x)

y^{''}-11y^'+28y=108e^t

y^{^{''}} - 11 y^{^{'}} + 28 y = 108 e^{t}

y^{''}-2y^'+y=x-2-2cos(8)

y^{^{''}} - 2 y^{^{'}} + y = x - 2 - 2 cos (8)

y^{''}+4y^'=4x+1

y^{^{''}} + 4 y^{^{'}} = 4 x + 1