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Beliebt Rechnen >

y^{''}-6y^'+8y=-2e^{2t}

Lösung

y^{^{''}} - 6 y^{^{'}} + 8 y = - 2 e^{2 t}

Lösung

y = c_{1} e^{4 t} + c_{2} e^{2 t} + e^{2 t} t

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) + 8 y = - 2 e^{2 t}

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} e^{2 t} + e^{2 t} t

y = c_{1} e^{4 t} + c_{2} e^{2 t} + e^{2 t} t

Graph

Beliebte Beispiele

y^{''}-2y^'-17y=sin(t)-cos(t)

y^{^{''}} - 2 y^{^{'}} - 17 y = sin (t) - cos (t)

y^{''}+4y=3cos(ax)

y^{^{''}} + 4 y = 3 cos (a x)

(d^2-2d+5)y=e^{-x}

(d^{2} - 2 d + 5) y = e^{- x}

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

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

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

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