de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{t} (c_{1} cos (t) + c_{2} sin (t)) + \frac{1}{2}

Schritte zur Lösung

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

Solve linear ODE:

y = e^{t} (c_{1} cos (t) + c_{2} sin (t)) + \frac{1}{2}

y = e^{t} (c_{1} cos (t) + c_{2} sin (t)) + \frac{1}{2}

Graph

Beliebte Beispiele

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

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

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

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

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

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

1/2 q^{''}+10q^'+(1/(10^{-2)})q=200

\frac{1}{2} q^{^{''}} + 10 q^{^{'}} + (\frac{1}{1 0 ^{- 2}}) q = 200

y^{'''}+4y^{''}+5y^'=11+5e^{2x}

y^{^{'''}} + 4 y^{^{''}} + 5 y^{^{'}} = 11 + 5 e^{2 x}