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Beliebt Rechnen >

y^{''}+4y^'+13y=5

Lösung

y^{^{''}} + 4 y^{^{'}} + 13 y = 5

Lösung

y = e^{- 2 t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + \frac{5}{13}

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 13 y = 5

Solve linear ODE:

y = e^{- 2 t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + \frac{5}{13}

y = e^{- 2 t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + \frac{5}{13}

Graph

Beliebte Beispiele

y^{''}+4y^'+y=2

y^{^{''}} + 4 y^{^{'}} + y = 2

y^{''}+5y^'+6y=20te^{5t}

y^{^{''}} + 5 y^{^{'}} + 6 y = 20 t e^{5 t}

y^{''}-6y^'+8y=-3e^{2x}-5xe^{-4x}+3x

y^{^{''}} - 6 y^{^{'}} + 8 y = - 3 e^{2 x} - 5 x e^{- 4 x} + 3 x

y^{''''}-y^{''}=3x^2-2x

y^{^{''''}} - y^{^{''}} = 3 x^{2} - 2 x

y^{'''}-2y^{''}+y^'=1

y^{^{'''}} - 2 y^{^{''}} + y^{^{'}} = 1