de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+5y^'+6y=36e^t,y(0)=-5,y^'(0)=21

Lösung

y^{^{''}} + 5 y^{^{'}} + 6 y = 36 e^{t}, y (0) = - 5, y^{^{'}} (0) = 21

Lösung

y = - 6 e^{- 2 t} - 2 e^{- 3 t} + 3 e^{t}

Schritte zur Lösung

y^{''} (t) + 5 y^{'} (t) + 6 y = 36 e^{t}

Solve linear ODE:

y = - 6 e^{- 2 t} - 2 e^{- 3 t} + 3 e^{t}

y = - 6 e^{- 2 t} - 2 e^{- 3 t} + 3 e^{t}

Graph

Beliebte Beispiele

y^{''}-6y^'+8y=2x-1

y^{^{''}} - 6 y^{^{'}} + 8 y = 2 x - 1

y^{''}=2y+22cot^3(x),y(0)=11cot(x)

y^{^{''}} = 2 y + 22 cot^{3} (x), y (0) = 11 cot (x)

2y^{''}+18y+5=0,y(0)=0,y^'(0)=0

2 y^{^{''}} + 18 y + 5 = 0, y (0) = 0, y^{^{'}} (0) = 0

solvefor y,(d^3+4d)y=2t+t^2

so l v e f or y, (d^{3} + 4 d) y = 2 t + t^{2}

y^{^{''}} + y = 2 \cdot e^{x}