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Beliebt Rechnen >

x^{''}-2x^'+3x+2=0

Lösung

x^{^{''}} - 2 x^{^{'}} + 3 x + 2 = 0

Lösung

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

Schritte zur Lösung

x^{''} (t) - 2 x^{'} (t) + 3 x + 2 = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-10y^'+16=0

y^{^{''}} - 10 y^{^{'}} + 16 = 0

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

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

y^{''}+1y^'-20y=1200t^3

y^{^{''}} + 1 y^{^{'}} - 20 y = 1200 t^{3}

3y^{'''}+9y^{''}+y^'-8y=e^{-t}

3 y^{^{'''}} + 9 y^{^{''}} + y^{^{'}} - 8 y = e^{- t}

y^{''}+y=(t-u),y(0)=10,y^'(0)=0

y^{^{''}} + y = (t - u), y (0) = 10, y^{^{'}} (0) = 0