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Beliebt Rechnen >

y^{''}+6y^'+8y=-6te^{4t}

Lösung

y^{^{''}} + 6 y^{^{'}} + 8 y = - 6 t e^{4 t}

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} - \frac{e ^{4 t} t}{8} + \frac{7}{192} e^{4 t}

Schritte zur Lösung

y^{''} (t) + 6 y^{'} (t) + 8 y = - 6 t e^{4 t}

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} - \frac{e ^{4 t} t}{8} + \frac{7}{192} e^{4 t}

y = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} - \frac{e ^{4 t} t}{8} + \frac{7}{192} e^{4 t}

Graph

Beliebte Beispiele

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\frac{d}{d x} (4 x^{\frac{3}{4}})

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\int θ arcsec (9 θ) d θ

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