de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(d^2x)/(dt^2)+4(dx)/(dt)+4x=7-2t^2

Lösung

\frac{d ^{2} x}{d t ^{2}} + 4 \frac{d x}{d t} + 4 x = 7 - 2 t^{2}

Lösung

x = c_{1} e^{- 2 t} + c_{2} t e^{- 2 t} - \frac{t ^{2}}{2} + t + 1

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 4 \frac{d x}{d t} + 4 x = 7 - 2 t^{2}

Solve linear ODE:

x = c_{1} e^{- 2 t} + c_{2} t e^{- 2 t} - \frac{t ^{2}}{2} + t + 1

x = c_{1} e^{- 2 t} + c_{2} t e^{- 2 t} - \frac{t ^{2}}{2} + t + 1

Graph

Beliebte Beispiele

y^{''}+4y=sin(3t)

y^{^{''}} + 4 y = sin (3 t)

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

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

y^{''}+2y^'+5y=1+e^x

y^{^{''}} + 2 y^{^{'}} + 5 y = 1 + e^{x}

y^{''}+4y=sin(t)\H(t-2pi)

y^{^{''}} + 4 y = sin (t) H (t - 2 π)

4 y^{^{''}} + 16 y = 1