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Beliebt Rechnen >

y^{''}-6y^'-16y=-24t+32t^2

Lösung

y^{^{''}} - 6 y^{^{'}} - 16 y = - 24 t + 32 t^{2}

Lösung

y = c_{1} e^{8 t} + c_{2} e^{- 2 t} - 2 t^{2} + 3 t - \frac{11}{8}

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) - 16 y = - 24 t + 32 t^{2}

Solve linear ODE:

y = c_{1} e^{8 t} + c_{2} e^{- 2 t} - 2 t^{2} + 3 t - \frac{11}{8}

y = c_{1} e^{8 t} + c_{2} e^{- 2 t} - 2 t^{2} + 3 t - \frac{11}{8}

Graph

Beliebte Beispiele

16y^{''}+y=4sec(pi/4)

16 y^{^{''}} + y = 4 sec (\frac{π}{4})

y^{''}+y^'-8y=48t

y^{^{''}} + y^{^{'}} - 8 y = 48 t

y^{''}-2y^'+1=xe^x

y^{^{''}} - 2 y^{^{'}} + 1 = x e^{x}

y^{''}+y^'-6y=6e^{2x}

y^{^{''}} + y^{^{'}} - 6 y = 6 e^{2 x}

y^{''}-2y^'-3y=4e^x-9+24x+4

y^{^{''}} - 2 y^{^{'}} - 3 y = 4 e^{x} - 9 + 24 x + 4