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Beliebt Rechnen >

y^{''}-256y=0

Lösung

y^{^{''}} - 256 y = 0

Lösung

y = c_{1} e^{16 t} + c_{2} e^{- 16 t}

Schritte zur Lösung

y^{''} (t) - 256 y = 0

Solve linear ODE:

y = c_{1} e^{16 t} + c_{2} e^{- 16 t}

y = c_{1} e^{16 t} + c_{2} e^{- 16 t}

Graph

Beliebte Beispiele

(D^3-6D^2+5D)y=0

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

y^{''''}-6y^{''}+9y=0

y^{^{''''}} - 6 y^{^{''}} + 9 y = 0

y^{'''}+y^{''}-72y^'=0

y^{^{'''}} + y^{^{''}} - 72 y^{^{'}} = 0

y^{'''}+4y^{''}+13y^'=0

y^{^{'''}} + 4 y^{^{''}} + 13 y^{^{'}} = 0

y^{''}-6y^'+9y=0,y(0)=-3,y^'(0)=2

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y (0) = - 3, y^{^{'}} (0) = 2