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Beliebt Rechnen >

y^{'''}+3.2y^{''}+4.81y^'=0

Lösung

y^{^{'''}} + 3.2 y^{^{''}} + 4.81 y^{^{'}} = 0

Lösung

y = c_{1} + e^{- \frac{8 t}{5}} (c_{2} cos (\frac{3 t}{2}) + c_{3} sin (\frac{3 t}{2}))

Schritte zur Lösung

y^{'''} (t) + 3.2 y^{''} (t) + 4.81 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + e^{- \frac{8 t}{5}} (c_{2} cos (\frac{3 t}{2}) + c_{3} sin (\frac{3 t}{2}))

y = c_{1} + e^{- \frac{8 t}{5}} (c_{2} cos (\frac{3 t}{2}) + c_{3} sin (\frac{3 t}{2}))

Graph

Beliebte Beispiele

y^{''}-16y=0,y(0)=4

y^{^{''}} - 16 y = 0, y (0) = 4

21y^{''''}+187y^{''}+400y=0

21 y^{^{''''}} + 187 y^{^{''}} + 400 y = 0

x^{''}-8x^'+16x=0

x^{^{''}} - 8 x^{^{'}} + 16 x = 0

y^{''}+3y^'+9/4 y=0

y^{^{''}} + 3 y^{^{'}} + \frac{9}{4} y = 0

y^{''}-y^'-12y=0,y(0)=1,y^'(0)=-1

y^{^{''}} - y^{^{'}} - 12 y = 0, y (0) = 1, y^{^{'}} (0) = - 1