de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+6y^'+8y=cos(3t)

Lösung

y^{^{''}} + 6 y^{^{'}} + 8 y = cos (3 t)

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} + \frac{18}{325} sin (3 t) - \frac{1}{325} cos (3 t)

Schritte zur Lösung

y^{''} (t) + 6 y^{'} (t) + 8 y = cos (3 t)

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} + \frac{18}{325} sin (3 t) - \frac{1}{325} cos (3 t)

y = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} + \frac{18}{325} sin (3 t) - \frac{1}{325} cos (3 t)

Graph

Beliebte Beispiele

tangent f(x)=5x^3+4x,\at x=-1

t an g e n t f (x) = 5 x^{3} + 4 x, at x = - 1

(dx)/(dt)=1+t-x-tx

\frac{d x}{d t} = 1 + t - x - t x

integral of 2(2x+4)^5

\int 2 (2 x + 4)^{5} d x

derivative of 4^4

\frac{d}{d x} (4^{4})

derivative f(x)=(4-x)(2/(x^2)-3)

d er i v a t i v e f (x) = (4 - x) (\frac{2}{x ^{2}} - 3)