de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

3y^{''}+27y^'+42y=25sin(t)

Lösung

3 y^{^{''}} + 27 y^{^{'}} + 42 y = 25 sin (t)

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{- 7 t} + \frac{13}{30} sin (t) - \frac{3}{10} cos (t)

Schritte zur Lösung

3 y^{''} (t) + 27 y^{'} (t) + 42 y = 25 sin (t)

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 7 t} + \frac{13}{30} sin (t) - \frac{3}{10} cos (t)

y = c_{1} e^{- 2 t} + c_{2} e^{- 7 t} + \frac{13}{30} sin (t) - \frac{3}{10} cos (t)

Graph

Beliebte Beispiele

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

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

y^{''}-9y^'+8y=x

y^{^{''}} - 9 y^{^{'}} + 8 y = x

y^{''}+14y^'+50y=371cos(t)

y^{^{''}} + 14 y^{^{'}} + 50 y = 371 cos (t)

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

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

(d^3x)/(dt^3)+x= 1/2 t^2e^t

\frac{d ^{3} x}{d t ^{3}} + x = \frac{1}{2} t^{2} e^{t}