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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+13y^'+18y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 13 y^{^{'}} + 18 y = 0, y (0) = 1, y^{^{'}} (0) = 0

81y^{''}-54y^'=0,y(0)=1,y^'(0)=0

81 y^{^{''}} - 54 y^{^{'}} = 0, y (0) = 1, y^{^{'}} (0) = 0

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

2y^{''}+6y^'+4y=0

2 y^{^{''}} + 6 y^{^{'}} + 4 y = 0

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

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