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Beliebt Rechnen >

2q^{''}+10q^'+12q=e^{-3t}

Lösung

2 q^{^{''}} + 10 q^{^{'}} + 12 q = e^{- 3 t}

Lösung

q (t) = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} - \frac{e ^{- 3 t} t}{2}

Schritte zur Lösung

2 q^{''} (t) + 10 q^{'} (t) + 12 q (t) = e^{- 3 t}

Solve linear ODE:

q (t) = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} - \frac{e ^{- 3 t} t}{2}

q (t) = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} - \frac{e ^{- 3 t} t}{2}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+12(dy)/(dx)+32y=160

\frac{d ^{2} y}{d x ^{2}} + 12 \frac{d y}{d x} + 32 y = 160

y^{''}-4y^'=16t+36,y(-2)=2,y^'(-2)=-1

y^{^{''}} - 4 y^{^{'}} = 16 t + 36, y (- 2) = 2, y^{^{'}} (- 2) = - 1

(d^2y)/(dx^2)+a(dy)/(dx)=b

\frac{d ^{2} y}{d x ^{2}} + a \frac{d y}{d x} = b

y^{''}+36y=12tan(6t)

y^{^{''}} + 36 y = 12 tan (6 t)

(-8x^{''}-16x^'+24)=8e^{2t}

(- 8 x^{^{''}} - 16 x^{^{'}} + 24) = 8 e^{2 t}