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Beliebt Rechnen >

x^{''}+9x=5cos(t)

Lösung

x^{^{''}} + 9 x = 5 cos (t)

Lösung

x = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{5}{8} cos (t)

Schritte zur Lösung

x^{''} (t) + 9 x = 5 cos (t)

Solve linear ODE:

x = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{5}{8} cos (t)

x = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{5}{8} cos (t)

Graph

Beliebte Beispiele

y^{''}-3y^'+7y=3e^{3t}

y^{^{''}} - 3 y^{^{'}} + 7 y = 3 e^{3 t}

y^{^{''}} + 6 y^{^{'}} = - 9

y^{''}+4y^'+8y=24,y^'(0)=0,y(0)=0

y^{^{''}} + 4 y^{^{'}} + 8 y = 24, y^{^{'}} (0) = 0, y (0) = 0

y^{''}+18y^'-y=t^{-1}e^t

y^{^{''}} + 18 y^{^{'}} - y = t^{- 1} e^{t}

DB=10log_{10}((0.1)/(1*10^{-12)})

D B = 10 lo g_{10} (\frac{0.1}{1 \cdot 1 0 ^{- 12}})