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=(e^{-3}x)/x

Lösung

y^{^{''}} + 6 y^{^{'}} + 9 y = \frac{e ^{- 3} x}{x}

Lösung

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

Schritte zur Lösung

y^{''} (x) + 6 y^{'} (x) + 9 y = \frac{e ^{- 3} x}{x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^3+d^2-4d-4)y=3e^{-x}-4x-6

(d^{3} + d^{2} - 4 d - 4) y = 3 e^{- x} - 4 x - 6

(d^2-2d+4)*y=e^x*cos(x)

(d^{2} - 2 d + 4) \cdot y = e^{x} \cdot cos (x)

y^{'''}-3y^{''}-10y^'+24=2x^2-5

y^{^{'''}} - 3 y^{^{''}} - 10 y^{^{'}} + 24 = 2 x^{2} - 5

(d^2-3d+2)y=sin(2x)

(d^{2} - 3 d + 2) y = sin (2 x)

(d^2+5d+6)*y=e^x+e^{-x}

(d^{2} + 5 d + 6) \cdot y = e^{x} + e^{- x}