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Beliebt Rechnen >

x^{''}+2x^'+5x=12cos(2t)+3sin(2t)

Lösung

x^{^{''}} + 2 x^{^{'}} + 5 x = 12 cos (2 t) + 3 sin (2 t)

Lösung

x = e^{- t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + 3 sin (2 t)

Schritte zur Lösung

x^{''} (t) + 2 x^{'} (t) + 5 x = 12 cos (2 t) + 3 sin (2 t)

Solve linear ODE:

x = e^{- t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + 3 sin (2 t)

x = e^{- t} (c_{1} cos (2 t) + c_{2} sin (2 t)) + 3 sin (2 t)

Graph

Beliebte Beispiele

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

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

y^{'''}-y^{''}-y^'+y=3e^{-t}+4

y^{^{'''}} - y^{^{''}} - y^{^{'}} + y = 3 e^{- t} + 4

- 4 y^{^{''}} + 9 y = 15

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

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

y^{''}+6y^'+13y=10e^{-2t}

y^{^{''}} + 6 y^{^{'}} + 13 y = 10 e^{- 2 t}