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Beliebt Rechnen >

q^{''}+10q^'+10000q=20(t)

Lösung

q^{^{''}} + 10 q^{^{'}} + 10000 q = 20 (t)

Lösung

q (t) = e^{- 5 t} (c_{1} cos (5399 t) + c_{2} sin (5399 t)) + \frac{t}{500} - \frac{1}{500000}

Schritte zur Lösung

q^{''} (t) + 10 q^{'} (t) + 10000 q (t) = 20 (t)

Solve linear ODE:

q (t) = e^{- 5 t} (c_{1} cos (5399 t) + c_{2} sin (5399 t)) + \frac{t}{500} - \frac{1}{500000}

q (t) = e^{- 5 t} (c_{1} cos (5399 t) + c_{2} sin (5399 t)) + \frac{t}{500} - \frac{1}{500000}

Graph

Beliebte Beispiele

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

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

y^{''}+y^'-2y=2+5*cos(x)

y^{^{''}} + y^{^{'}} - 2 y = 2 + 5 \cdot cos (x)

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

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

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

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

x^{''}-4x^'+5x=cos(t)

x^{^{''}} - 4 x^{^{'}} + 5 x = cos (t)