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Beliebt Rechnen >

y^{''}+8y^'+160y=0

Lösung

y^{^{''}} + 8 y^{^{'}} + 160 y = 0

Lösung

y = e^{- 4 t} (c_{1} cos (12 t) + c_{2} sin (12 t))

Schritte zur Lösung

y^{''} (t) + 8 y^{'} (t) + 160 y = 0

Solve linear ODE:

y = e^{- 4 t} (c_{1} cos (12 t) + c_{2} sin (12 t))

y = e^{- 4 t} (c_{1} cos (12 t) + c_{2} sin (12 t))

Graph

Beliebte Beispiele

0.1y^{''}+y^'+y=0,y(0)=1,y(1)=0

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

y^{''}+0.2y^'+0.01y=0

y^{^{''}} + 0.2 y^{^{'}} + 0.01 y = 0

y^{''}+9y^'-20y=0,y(0)=1,y^'(0)=2

y^{^{''}} + 9 y^{^{'}} - 20 y = 0, y (0) = 1, y^{^{'}} (0) = 2

y^{''''}+5y^{'''}=0

y^{^{''''}} + 5 y^{^{'''}} = 0

4y^{''}-68y^'+289y=0

4 y^{^{''}} - 68 y^{^{'}} + 289 y = 0