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Beliebt Rechnen >

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

Lösung

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

Lösung

x = c_{1} e^{- t} + c_{2} e^{- 2 t} + \frac{3}{10} sin (t) + \frac{1}{10} cos (t)

Schritte zur Lösung

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

Solve linear ODE:

x = c_{1} e^{- t} + c_{2} e^{- 2 t} + \frac{3}{10} sin (t) + \frac{1}{10} cos (t)

x = c_{1} e^{- t} + c_{2} e^{- 2 t} + \frac{3}{10} sin (t) + \frac{1}{10} cos (t)

Graph

Beliebte Beispiele

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

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

y^{''}+36y=36sec(6t)

y^{^{''}} + 36 y = 36 sec (6 t)

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

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

y^{''}-y^'=9te^{2t}

y^{^{''}} - y^{^{'}} = 9 t e^{2 t}

q^{''}+20q^'+100q=24,q(0)=0,q^'(0)=0

q^{^{''}} + 20 q^{^{'}} + 100 q = 24, q (0) = 0, q^{^{'}} (0) = 0