de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+2y^'-3y=3e^{2t}

Lösung

y^{^{''}} + 2 y^{^{'}} - 3 y = 3 e^{2 t}

Lösung

y = c_{1} e^{t} + c_{2} e^{- 3 t} + \frac{3}{5} e^{2 t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- 3 t} + \frac{3}{5} e^{2 t}

y = c_{1} e^{t} + c_{2} e^{- 3 t} + \frac{3}{5} e^{2 t}

Graph

Beliebte Beispiele

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

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

y^{''}+4y^'+5y=-15x+e-x

y^{^{''}} + 4 y^{^{'}} + 5 y = - 15 x + e - x

y^{''}+2y=t^2-5,y(0)=0,y^'(0)=-8

y^{^{''}} + 2 y = t^{2} - 5, y (0) = 0, y^{^{'}} (0) = - 8

y^{''}-y=-15t+4

y^{^{''}} - y = - 15 t + 4

y^{''}-y=-15t+5

y^{^{''}} - y = - 15 t + 5