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Beliebt Rechnen >

y^{'''}+5y^{''}+3y^'-9y=0

Lösung

y^{^{'''}} + 5 y^{^{''}} + 3 y^{^{'}} - 9 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) + 5 y^{''} (t) + 3 y^{'} (t) - 9 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}+2y^'-3y=0

y^{^{'''}} + 2 y^{^{'}} - 3 y = 0

15y^{''''}+128y^{''}+25y=0

15 y^{^{''''}} + 128 y^{^{''}} + 25 y = 0

y^{''}-4y^'-5y=0,y(1)=0,y^'(1)=5

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (1) = 0, y^{^{'}} (1) = 5

x^{'''}-12x^{''}+48x^'-64x=0

x^{^{'''}} - 12 x^{^{''}} + 48 x^{^{'}} - 64 x = 0

y^{^{''}} = 4 y^{^{'}} - 3 y