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Beliebt Rechnen >

x^{''}-2x^'-x=e^{2t}

Lösung

x^{^{''}} - 2 x^{^{'}} - x = e^{2 t}

Lösung

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

Schritte zur Lösung

x^{''} (t) - 2 x^{'} (t) - x = e^{2 t}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y=e^xcos(x),y(0)=0,y^'(0)=0

y^{^{''}} - y = e^{x} cos (x), y (0) = 0, y^{^{'}} (0) = 0

y^{''}-10y^'+25y=t^{-6}e^{5t}

y^{^{''}} - 10 y^{^{'}} + 25 y = t^{- 6} e^{5 t}

y^{''}-y^'-2y=xe^{4x}

y^{^{''}} - y^{^{'}} - 2 y = x e^{4 x}

q^{''}+100q^'+2500q=40,q(0)=0

q^{^{''}} + 100 q^{^{'}} + 2500 q = 40, q (0) = 0

(D^2+5)y=cos(sqrt(5))x

(D^{2} + 5) y = cos (5) x