de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+2y^'+5y=e^{-t}

Lösung

y^{^{''}} + 2 y^{^{'}} + 5 y = e^{- t}

Lösung

y = e^{- t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + \frac{1}{4} e^{- t}

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + 5 y = e^{- t}

Solve linear ODE:

y = e^{- t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + \frac{1}{4} e^{- t}

y = e^{- t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + \frac{1}{4} e^{- t}

Graph

Beliebte Beispiele

x^{''}+5x^'+4x=5e^{10t}

x^{^{''}} + 5 x^{^{'}} + 4 x = 5 e^{10 t}

(d^2y)/(dx^2)+y=1

\frac{d ^{2} y}{d x ^{2}} + y = 1

y^{''}-3y^'-4y=3e^{2x}+2sin(x)

y^{^{''}} - 3 y^{^{'}} - 4 y = 3 e^{2 x} + 2 sin (x)

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

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

(D^4+2D^3-3D^2)y=3e^{2x}+4sin(x)

(D^{4} + 2 D^{3} - 3 D^{2}) y = 3 e^{2 x} + 4 sin (x)