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Beliebt Rechnen >

y^{''}+6y^'+8y=16t^2

Lösung

y^{^{''}} + 6 y^{^{'}} + 8 y = 16 t^{2}

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} + 2 t^{2} - 3 t + \frac{7}{4}

Schritte zur Lösung

y^{''} (t) + 6 y^{'} (t) + 8 y = 16 t^{2}

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} + 2 t^{2} - 3 t + \frac{7}{4}

y = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} + 2 t^{2} - 3 t + \frac{7}{4}

Graph

Beliebte Beispiele

y^{''}-y=-6sin(x)

y^{^{''}} - y = - 6 sin (x)

y^{''}+4y^'+6y=1,+e^{-t}y(0)=0,y^'(0)=0

y^{^{''}} + 4 y^{^{'}} + 6 y = 1, + e^{- t} y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + y^{^{'}} = - 1

y^{^{''}} + y^{^{'}} = - 3

y^{''}-3y^'-4y=-8etcos(2t)

y^{^{''}} - 3 y^{^{'}} - 4 y = - 8 e t cos (2 t)