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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

2y^{''}-7y^'+5y=-29

2 y^{^{''}} - 7 y^{^{'}} + 5 y = - 29

y^{''}+8y^'+16y=e^{-4t}

y^{^{''}} + 8 y^{^{'}} + 16 y = e^{- 4 t}

y^{''}+9y=sin(3x)+e^{-x}

y^{^{''}} + 9 y = sin (3 x) + e^{- x}

(D^2-2D+1)y=x^2e^{3x}

(D^{2} - 2 D + 1) y = x^{2} e^{3 x}

(d^2-1)y=xsin(x)+(1+x^2)e^x

(d^{2} - 1) y = x sin (x) + (1 + x^{2}) e^{x}