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Beliebt Rechnen >

2y-y^{''}=0

Lösung

2 y - y^{^{''}} = 0

Lösung

y = c_{1} e^{2 t} + c_{2} e^{- 2 t}

Schritte zur Lösung

2 y - y^{''} (t) = 0

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 2 t}

y = c_{1} e^{2 t} + c_{2} e^{- 2 t}

Graph

Beliebte Beispiele

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

y^{''}+6y^'+9y=0,y(0)=1,y^'(0)=1

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (0) = 1, y^{^{'}} (0) = 1

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

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

x^{'''}+5x^{''}-25x^'-125x=0

x^{^{'''}} + 5 x^{^{''}} - 25 x^{^{'}} - 125 x = 0

y^{''}-12y^'+35y=0,y(0)=e^{kx}

y^{^{''}} - 12 y^{^{'}} + 35 y = 0, y (0) = e^{k x}