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Beliebt Rechnen >

y^{''}+9y^'+8y=3e^{5x}

Lösung

y^{^{''}} + 9 y^{^{'}} + 8 y = 3 e^{5 x}

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 8 x} + \frac{1}{26} e^{5 x}

Schritte zur Lösung

y^{''} (x) + 9 y^{'} (x) + 8 y = 3 e^{5 x}

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 8 x} + \frac{1}{26} e^{5 x}

y = c_{1} e^{- x} + c_{2} e^{- 8 x} + \frac{1}{26} e^{5 x}

Graph

Beliebte Beispiele

y^{''}-6y^'+25y=2sin(t)-cos(t)

y^{^{''}} - 6 y^{^{'}} + 25 y = 2 sin (t) - cos (t)

y^{''}-2y^'-3y=e^{3t}

y^{^{''}} - 2 y^{^{'}} - 3 y = e^{3 t}

y^{''}-2y^'+17y=e^xsin(x)

y^{^{''}} - 2 y^{^{'}} + 17 y = e^{x} sin (x)

y^{''}-4y^'-5y=2+e^{-t},y(0)=0,y^'(0)=0

y^{^{''}} - 4 y^{^{'}} - 5 y = 2 + e^{- t}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-2y^'-3y=3t^2-5

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 t^{2} - 5