de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

x^{''}-6x^'+13x=2197t^2

Lösung

x^{^{''}} - 6 x^{^{'}} + 13 x = 2197 t^{2}

Lösung

x = e^{3 t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + 169 t^{2} + 156 t + 46

Schritte zur Lösung

x^{''} (t) - 6 x^{'} (t) + 13 x = 2197 t^{2}

Solve linear ODE:

x = e^{3 t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + 169 t^{2} + 156 t + 46

x = e^{3 t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + 169 t^{2} + 156 t + 46

Graph

Beliebte Beispiele

(d^{2} + 1) y = e^{x}

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

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

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

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

y^{''}=2y^'+15y+sin(3t)

y^{^{''}} = 2 y^{^{'}} + 15 y + sin (3 t)

y^{''}-6y^'+8y=-2e^{2t}

y^{^{''}} - 6 y^{^{'}} + 8 y = - 2 e^{2 t}