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Beliebt Rechnen >

y^{'''}+7y^{''}-6y^'-72y=-360

Lösung

y^{^{'''}} + 7 y^{^{''}} - 6 y^{^{'}} - 72 y = - 360

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- 4 t} + c_{3} e^{- 6 t} + 5

Schritte zur Lösung

y^{'''} (t) + 7 y^{''} (t) - 6 y^{'} (t) - 72 y = - 360

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- 4 t} + c_{3} e^{- 6 t} + 5

y = c_{1} e^{3 t} + c_{2} e^{- 4 t} + c_{3} e^{- 6 t} + 5

Graph

Beliebte Beispiele

y^{''}+4y^'=6e^{3t}-3e^{-t}

y^{^{''}} + 4 y^{^{'}} = 6 e^{3 t} - 3 e^{- t}

y^{''}+4y=2sin(t)

y^{^{''}} + 4 y = 2 sin (t)

y^{''}-3y^'-10y=54e^{7t},y(0)=5

y^{^{''}} - 3 y^{^{'}} - 10 y = 54 e^{7 t}, y (0) = 5

y^{'''}-2y^{''}=4

y^{^{'''}} - 2 y^{^{''}} = 4

y^{''}+2y^'-3y=x^2sin(x)

y^{^{''}} + 2 y^{^{'}} - 3 y = x^{2} sin (x)