de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+2y^'+y=(1/6)(e^{-x})

Lösung

y^{^{''}} + 2 y^{^{'}} + y = (\frac{1}{6}) (e^{- x})

Lösung

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{e ^{- x} x ^{2}}{12}

Schritte zur Lösung

y^{''} (x) + 2 y^{'} (x) + y = (\frac{1}{6}) (e^{- x})

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{e ^{- x} x ^{2}}{12}

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{e ^{- x} x ^{2}}{12}

Graph

Beliebte Beispiele

y^{'''}-y=x^3-1

y^{^{'''}} - y = x^{3} - 1

8y^{''}+y=t,y(0)=0,y^'(0)=0

8 y^{^{''}} + y = t, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-4y=te^{4t}

y^{^{''}} - 4 y = t e^{4 t}

y^{''}+y^'+256/3 x=50cos(3x)

y^{^{''}} + y^{^{'}} + \frac{256}{3} x = 50 cos (3 x)

y^{''}-3y^'+y=x^2+x

y^{^{''}} - 3 y^{^{'}} + y = x^{2} + x