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Beliebt Rechnen >

y^{''}+4y+5y=e^{-t}

Lösung

y^{^{''}} + 4 y + 5 y = e^{- t}

Lösung

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

Schritte zur Lösung

y^{''} (t) + 4 y + 5 y = e^{- t}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-36y=9e^{6x}

y^{^{''}} - 36 y = 9 e^{6 x}

(d^2y)/(dx^2)+4y=8

\frac{d ^{2} y}{d x ^{2}} + 4 y = 8

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

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

y^{''}+4y^'+3y=6te^{3t}

y^{^{''}} + 4 y^{^{'}} + 3 y = 6 t e^{3 t}

y^{''}-9y^'+14y=30t-34

y^{^{''}} - 9 y^{^{'}} + 14 y = 30 t - 34