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Beliebt Rechnen >

y^{''}+3y^'-28y=-96t+56t^2

Lösung

y^{^{''}} + 3 y^{^{'}} - 28 y = - 96 t + 56 t^{2}

Lösung

y = c_{1} e^{4 t} + c_{2} e^{- 7 t} - 2 t^{2} + 3 t + \frac{5}{28}

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) - 28 y = - 96 t + 56 t^{2}

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} e^{- 7 t} - 2 t^{2} + 3 t + \frac{5}{28}

y = c_{1} e^{4 t} + c_{2} e^{- 7 t} - 2 t^{2} + 3 t + \frac{5}{28}

Graph

Beliebte Beispiele

θ^{''}(t)-θ(t)=t

θ^{^{''}} (t) - θ (t) = t

linear y^{'''}+y^'=sec(x)

l in e a r y^{^{'''}} + y^{^{'}} = sec (x)

y^{'''}-11y^{''}+35y^'-25=0

y^{^{'''}} - 11 y^{^{''}} + 35 y^{^{'}} - 25 = 0

(d^2y)/(dt^2)+2y=cos(7t)

\frac{d ^{2} y}{d t ^{2}} + 2 y = cos (7 t)

y^{^{''}} + 3 y = 2