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Beliebt Rechnen >

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

Lösung

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

Lösung

x = c_{1} e^{- 2 t} + c_{2} - \frac{1}{8} e^{2 t} + \frac{3 t}{2}

Schritte zur Lösung

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

Solve linear ODE:

x = c_{1} e^{- 2 t} + c_{2} - \frac{1}{8} e^{2 t} + \frac{3 t}{2}

x = c_{1} e^{- 2 t} + c_{2} - \frac{1}{8} e^{2 t} + \frac{3 t}{2}

Graph

Beliebte Beispiele

y^{''}-y^'+2y=4e^x

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2 y^{^{''}} + 4 y^{^{'}} + 8 y = 10 cos (2 t)

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\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = 1 + 3 x + x^{2}

x^{''}-18x^'+81x=3te^{9t}

x^{^{''}} - 18 x^{^{'}} + 81 x = 3 t e^{9 t}