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Beliebt Rechnen >

1q^{''}+8q^'+1/(0.05)q=80t

Lösung

1 q^{^{''}} + 8 q^{^{'}} + \frac{1}{0.05} q = 80 t

Lösung

q (t) = e^{- 4 t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + 4 t - \frac{8}{5}

Schritte zur Lösung

1 q^{''} (t) + 8 q^{'} (t) + \frac{1}{0.05} q (t) = 80 t

Solve linear ODE:

q (t) = e^{- 4 t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + 4 t - \frac{8}{5}

q (t) = e^{- 4 t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + 4 t - \frac{8}{5}

Graph

Beliebte Beispiele

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

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

y^{''}-5y^'+6y=e^t,y(0)=1,y^'(0)=1

y^{^{''}} - 5 y^{^{'}} + 6 y = e^{t}, y (0) = 1, y^{^{'}} (0) = 1

(d^2y)/(dx^2)-8(dy)/(dx)+2y=xe^x

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 2 y = x e^{x}

y^{'''}-16y^'=t(e^{4t})

y^{^{'''}} - 16 y^{^{'}} = t (e^{4 t})

y^{''}-2y^'+y=0+e^{2x}

y^{^{''}} - 2 y^{^{'}} + y = 0 + e^{2 x}