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Beliebt Rechnen >

0.5q^{''}+6q^'+1/(0.02)q=24sin(10t)

Lösung

0.5 q^{^{''}} + 6 q^{^{'}} + \frac{1}{0.02} q = 24 sin (10 t)

Lösung

q (t) = e^{- 6 t} (c_{1} cos (8 t) + c_{2} sin (8 t)) - \frac{2}{5} cos (10 t)

Schritte zur Lösung

0.5 q^{''} (t) + 6 q^{'} (t) + \frac{1}{0.02} q (t) = 24 sin (10 t)

Solve linear ODE:

q (t) = e^{- 6 t} (c_{1} cos (8 t) + c_{2} sin (8 t)) - \frac{2}{5} cos (10 t)

q (t) = e^{- 6 t} (c_{1} cos (8 t) + c_{2} sin (8 t)) - \frac{2}{5} cos (10 t)

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=13e^{3x}

y^{^{''}} - 3 y^{^{'}} + 2 y = 13 e^{3 x}

y^{''}-y=e^tsin(t),y(0)=0,y^'(0)=0

y^{^{''}} - y = e^{t} sin (t), y (0) = 0, y^{^{'}} (0) = 0

y^{''}-2y^'+2y=4e^xcos(x)

y^{^{''}} - 2 y^{^{'}} + 2 y = 4 e^{x} cos (x)

y^{''}+2y^'-5y=-2

y^{^{''}} + 2 y^{^{'}} - 5 y = - 2

4y^{''}+16y=1,y(0)=-2,y^'(0)=0

4 y^{^{''}} + 16 y = 1, y (0) = - 2, y^{^{'}} (0) = 0