de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+3y^'=x

Lösung

y^{^{''}} + 3 y^{^{'}} = x

Lösung

y = c_{1} + c_{2} e^{- 3 x} + \frac{x ^{2}}{6} - \frac{x}{9}

Schritte zur Lösung

y^{''} (x) + 3 y^{'} (x) = x

Solve linear ODE:

y = c_{1} + c_{2} e^{- 3 x} + \frac{x ^{2}}{6} - \frac{x}{9}

y = c_{1} + c_{2} e^{- 3 x} + \frac{x ^{2}}{6} - \frac{x}{9}

Graph

Beliebte Beispiele

y^{'''}+3y^{''}+3y^'+y=sqrt(x)e^{-x}

y^{^{'''}} + 3 y^{^{''}} + 3 y^{^{'}} + y = x e^{- x}

y^{''}-12y^'+36y=18e^{6x}

y^{^{''}} - 12 y^{^{'}} + 36 y = 18 e^{6 x}

y^{''}-5y^'-6y=e^x

y^{^{''}} - 5 y^{^{'}} - 6 y = e^{x}

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

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

y^{'''}-3y^{''}+2y^'=(e^{2x})/(1+e^x)

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