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Beliebt Rechnen >

y^{''}+9y^'+8y=e^{2t}

Lösung

y^{^{''}} + 9 y^{^{'}} + 8 y = e^{2 t}

Lösung

y = c_{1} e^{- t} + c_{2} e^{- 8 t} + \frac{1}{30} e^{2 t}

Schritte zur Lösung

y^{''} (t) + 9 y^{'} (t) + 8 y = e^{2 t}

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{- 8 t} + \frac{1}{30} e^{2 t}

y = c_{1} e^{- t} + c_{2} e^{- 8 t} + \frac{1}{30} e^{2 t}

Graph

Beliebte Beispiele

y^{'''}+7y^{''}+8y^'-16y=-3e^x-2

y^{^{'''}} + 7 y^{^{''}} + 8 y^{^{'}} - 16 y = - 3 e^{x} - 2

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y^{^{''''}} + 2 y^{^{''}} + y = (x - 1)^{2}

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y^{^{''}} + y^{^{'}} - 6 y = 2 t

y^{'''}-5y^{''}+6y^'=8+2sin(x)

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(d^2y)/(dx^2)+(dy)/(dx)-2y=2x

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