de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+81y=8sin(9t)

Lösung

y^{^{''}} + 81 y = 8 sin (9 t)

Lösung

y = c_{1} cos (9 t) + c_{2} sin (9 t) - \frac{4 t cos ( 9 t )}{9}

Schritte zur Lösung

y^{''} (t) + 81 y = 8 sin (9 t)

Solve linear ODE:

y = c_{1} cos (9 t) + c_{2} sin (9 t) - \frac{4 t cos ( 9 t )}{9}

y = c_{1} cos (9 t) + c_{2} sin (9 t) - \frac{4 t cos ( 9 t )}{9}

Graph

Beliebte Beispiele

x^{''}+2x^'+5x=5cos(t)

x^{^{''}} + 2 x^{^{'}} + 5 x = 5 cos (t)

y^{''}+4y=4csc^2(2x)

y^{^{''}} + 4 y = 4 csc^{2} (2 x)

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

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

y^{''}+4y^'+2y=xe^{-2x}

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

y^{''}+10y^'+25y=e^{-5t}ln(t)

y^{^{''}} + 10 y^{^{'}} + 25 y = e^{- 5 t} ln (t)