de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

4y^{''}-4y^'+y=e^{x/2}

Lösung

4 y^{^{''}} - 4 y^{^{'}} + y = e^{\frac{x}{2}}

Lösung

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{\frac{x}{2}} x + \frac{e ^{\frac{x}{2}} x ^{2}}{8}

Schritte zur Lösung

4 y^{''} (x) - 4 y^{'} (x) + y = e^{\frac{x}{2}}

Solve linear ODE:

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{\frac{x}{2}} x + \frac{e ^{\frac{x}{2}} x ^{2}}{8}

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{\frac{x}{2}} x + \frac{e ^{\frac{x}{2}} x ^{2}}{8}

Graph

Beliebte Beispiele

2y^{''}-y^'-y=xe^x

2 y^{^{''}} - y^{^{'}} - y = x e^{x}

y^{''}-4y^'+13(t)=0

y^{^{''}} - 4 y^{^{'}} + 13 (t) = 0

y^{''}-y^'=2e^{-t},y(0)=0,y^'(0)=0

y^{^{''}} - y^{^{'}} = 2 e^{- t}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+9y=12cos(3t)

y^{^{''}} + 9 y = 12 cos (3 t)

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

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