de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(d^2y)/(dt^2)+2(dy)/(dt)+4y=13t^3

Lösung

\frac{d ^{2} y}{d t ^{2}} + 2 \frac{d y}{d t} + 4 y = 13 t^{3}

Lösung

y = e^{- t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + \frac{13 t ^{3}}{4} - \frac{39 t ^{2}}{8} + \frac{39}{16}

Schritte zur Lösung

\frac{d ^{2} y}{d t ^{2}} + 2 \frac{d y}{d t} + 4 y = 13 t^{3}

Solve linear ODE:

y = e^{- t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + \frac{13 t ^{3}}{4} - \frac{39 t ^{2}}{8} + \frac{39}{16}

y = e^{- t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + \frac{13 t ^{3}}{4} - \frac{39 t ^{2}}{8} + \frac{39}{16}

Graph

Beliebte Beispiele

y^{''}+y^'-12y=e^x+e^2

y^{^{''}} + y^{^{'}} - 12 y = e^{x} + e^{2}

5 y^{^{''}} + y^{^{'}} = 6 x

y^{''}-8y^'+17y=e^{4x}-x^2

y^{^{''}} - 8 y^{^{'}} + 17 y = e^{4 x} - x^{2}

y^{''}-81y=e^{10}t

y^{^{''}} - 81 y = e^{10} t

y^{''}-7y^'+6y=sin(x)

y^{^{''}} - 7 y^{^{'}} + 6 y = sin (x)