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^{''}=e^x+1

Lösung

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

Lösung

y = c_{1} + c_{2} x + c_{3} e^{x} + c_{4} x e^{x} + \frac{e ^{x} x ^{2} + x ^{2}}{2}

Schritte zur Lösung

y^{(4)} (x) - 2 y^{'''} (x) + y^{''} (x) = e^{x} + 1

Solve linear ODE:

y = c_{1} + c_{2} x + c_{3} e^{x} + c_{4} x e^{x} + \frac{e ^{x} x ^{2} + x ^{2}}{2}

y = c_{1} + c_{2} x + c_{3} e^{x} + c_{4} x e^{x} + \frac{e ^{x} x ^{2} + x ^{2}}{2}

Graph

Beliebte Beispiele

y^{''}+6y^'-7y=3e^{2x}-e^{-x}

y^{^{''}} + 6 y^{^{'}} - 7 y = 3 e^{2 x} - e^{- x}

(d^2y)/(dx^2)+(dy)/(dx)=tan(x)

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} = tan (x)

y^{''}-2y^'-3y=12e^x-6

y^{^{''}} - 2 y^{^{'}} - 3 y = 12 e^{x} - 6

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

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

y^{''}-10y^'+9y=5t

y^{^{''}} - 10 y^{^{'}} + 9 y = 5 t