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Beliebt Rechnen >

y^{''}+11y^'-12y=0

Lösung

y^{^{''}} + 11 y^{^{'}} - 12 y = 0

Lösung

y = c_{1} e^{t} + c_{2} e^{- 12 t}

Schritte zur Lösung

y^{''} (t) + 11 y^{'} (t) - 12 y = 0

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- 12 t}

y = c_{1} e^{t} + c_{2} e^{- 12 t}

Graph

Beliebte Beispiele

y^{''}-2y^'+y=0,y(0)=5,y^'(0)=1

y^{^{''}} - 2 y^{^{'}} + y = 0, y (0) = 5, y^{^{'}} (0) = 1

y^{^{''}} + 3^{2} y = 0

y^{''}=4y^'-3y,y(0)=5,y^'(0)=10

y^{^{''}} = 4 y^{^{'}} - 3 y, y (0) = 5, y^{^{'}} (0) = 10

y^{''}+36y=0,y(0)=0,y^'(0)=3

y^{^{''}} + 36 y = 0, y (0) = 0, y^{^{'}} (0) = 3

y^{''}-8y^'-16y=0

y^{^{''}} - 8 y^{^{'}} - 16 y = 0