de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

2y^{''}+27y=e^t-e^{-t},y^t(0)=2,y(0)=0

Lösung

2 y^{^{''}} + 27 y = e^{t} - e^{- t}, y^{t} (0) = 2, y (0) = 0

Lösung

y = c_{1} cos (\frac{3 ^{3}}{2} t) + c_{2} sin (\frac{3 ^{3}}{2} t) + \frac{e ^{t} - e ^{- t}}{29}

Schritte zur Lösung

2 y^{''} (t) + 27 y = e^{t} - e^{- t}

Solve linear ODE:

y = c_{1} cos (\frac{3 ^{3}}{2} t) + c_{2} sin (\frac{3 ^{3}}{2} t) + \frac{e ^{t} - e ^{- t}}{29}

y = c_{1} cos (\frac{3 ^{3}}{2} t) + c_{2} sin (\frac{3 ^{3}}{2} t) + \frac{e ^{t} - e ^{- t}}{29}

Graph

Beliebte Beispiele

y^{''}-2/5 y=-x^2

y^{^{''}} - \frac{2}{5} y = - x^{2}

3y^{''}-2y^'+2y=x+5

3 y^{^{''}} - 2 y^{^{'}} + 2 y = x + 5

y^{''}-y^'=sin(t)

y^{^{''}} - y^{^{'}} = sin (t)

y^{''}+c*y=g(x),y(0)=0,y^'(0)=0

y^{^{''}} + c \cdot y = g (x), y (0) = 0, y^{^{'}} (0) = 0

y^{''}-36y=24sin(6t)

y^{^{''}} - 36 y = 24 sin (6 t)