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Beliebt Rechnen >

x^{''}-25x=3e^{2t}

Lösung

x^{^{''}} - 25 x = 3 e^{2 t}

Lösung

x = c_{1} e^{5 t} + c_{2} e^{- 5 t} - \frac{1}{7} e^{2 t}

Schritte zur Lösung

x^{''} (t) - 25 x = 3 e^{2 t}

Solve linear ODE:

x = c_{1} e^{5 t} + c_{2} e^{- 5 t} - \frac{1}{7} e^{2 t}

x = c_{1} e^{5 t} + c_{2} e^{- 5 t} - \frac{1}{7} e^{2 t}

Graph

Beliebte Beispiele

(D^3+3D^2-4)y=xe^{-2x}

(D^{3} + 3 D^{2} - 4) y = x e^{- 2 x}

y^{''}-y=1,y(0)=0

y^{^{''}} - y = 1, y (0) = 0

y^{''}-4y^'+4y=xsin(x)

y^{^{''}} - 4 y^{^{'}} + 4 y = x sin (x)

y^{'''}+y^{''}+y^'+y=e^{-t}+14t

y^{^{'''}} + y^{^{''}} + y^{^{'}} + y = e^{- t} + 14 t

y^{^{''}} - 64 y = 16