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Beliebt Rechnen >

y^{''}-y^'-6y=2e^{4t}

Lösung

y^{^{''}} - y^{^{'}} - 6 y = 2 e^{4 t}

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- 2 t} + \frac{1}{3} e^{4 t}

Schritte zur Lösung

y^{''} (t) - y^{'} (t) - 6 y = 2 e^{4 t}

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- 2 t} + \frac{1}{3} e^{4 t}

y = c_{1} e^{3 t} + c_{2} e^{- 2 t} + \frac{1}{3} e^{4 t}

Graph

Beliebte Beispiele

y^{''}+2y^'+2y=3,y(0)=1,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + 2 y = 3, y (0) = 1, y^{^{'}} (0) = 0

y^{''}+5y^'+6y=e^{-x}

y^{^{''}} + 5 y^{^{'}} + 6 y = e^{- x}

(4d^2+12d+9)y=2022

(4 d^{2} + 12 d + 9) y = 2022

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

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

y^{''}+3y^'+2y=u_{2}(t),y(0)=5,y^'(0)=3

y^{^{''}} + 3 y^{^{'}} + 2 y = u_{2} (t), y (0) = 5, y^{^{'}} (0) = 3