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Beliebt Rechnen >

y^{''}+y^'-6y=0,y(1)=2e^2-e^{-3}

Lösung

y^{^{''}} + y^{^{'}} - 6 y = 0, y (1) = 2 e^{2} - e^{- 3}

Lösung

y = e^{2 t - 5} (2 e^{5} - 1 - c_{2}) + c_{2} e^{- 3 t}

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - 6 y = 0

Solve linear ODE:

y = e^{2 t - 5} (2 e^{5} - 1 - c_{2}) + c_{2} e^{- 3 t}

y = e^{2 t - 5} (2 e^{5} - 1 - c_{2}) + c_{2} e^{- 3 t}

Graph

Beliebte Beispiele

(D^3-3D^2+3D-1)y=0

(D^{3} - 3 D^{2} + 3 D - 1) y = 0

8y^{''}-9y^'+y=0

8 y^{^{''}} - 9 y^{^{'}} + y = 0

y^{'''}+4y^{''}+y^'-26y=0

y^{^{'''}} + 4 y^{^{''}} + y^{^{'}} - 26 y = 0

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

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

y^{''}-4y^'+8y=0,y^'(0)=2

y^{^{''}} - 4 y^{^{'}} + 8 y = 0, y^{^{'}} (0) = 2