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Beliebt Rechnen >

(d^2y)/(dx^2)=ky

Lösung

\frac{d ^{2} y}{d x ^{2}} = k y

Lösung

y = c_{1} e^{k x} + c_{2} e^{- k x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} = k y

Solve linear ODE:

y = c_{1} e^{k x} + c_{2} e^{- k x}

y = c_{1} e^{k x} + c_{2} e^{- k x}

Graph

Beliebte Beispiele

y^{''}-12y^'+20y=0

y^{^{''}} - 12 y^{^{'}} + 20 y = 0

y^{'''}-12y^{''}+21y^'+98y=0

y^{^{'''}} - 12 y^{^{''}} + 21 y^{^{'}} + 98 y = 0

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

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

y^{''''}+7y^{'''}+14y^{''}-22y^'-84y=0

y^{^{''''}} + 7 y^{^{'''}} + 14 y^{^{''}} - 22 y^{^{'}} - 84 y = 0

(6 d^{3} + 5 d^{2}) y = 0