de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''''}-2y^{''}+1=0

Lösung

y^{^{''''}} - 2 y^{^{''}} + 1 = 0

Lösung

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

Schritte zur Lösung

y^{(4)} (t) - 2 y^{''} (t) + 1 = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

x^{''}+b*x^'+a=0

x^{^{''}} + b \cdot x^{^{'}} + a = 0

x^{''}-6x-16x=sin(2t)

x^{^{''}} - 6 x - 16 x = sin (2 t)

y^{''}+4y=x^2+5e^x

y^{^{''}} + 4 y = x^{2} + 5 e^{x}

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

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

y^{''}+6y^'+3x=0,y(0)=0,y^'(0)=1

y^{^{''}} + 6 y^{^{'}} + 3 x = 0, y (0) = 0, y^{^{'}} (0) = 1