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Beliebt Rechnen >

linear y^{'''}+19y^{''}-14y^'-266y=0

Lösung

linear

y^{^{'''}} + 19 y^{^{''}} - 14 y^{^{'}} - 266 y = 0

Lösung

y = c_{1} e^{- 19 t} + c_{2} e^{- 14 t} + c_{3} e^{14 t}

Schritte zur Lösung

y^{'''} (t) + 19 y^{''} (t) - 14 y^{'} (t) - 266 y = 0

Solve linear ODE:

y = c_{1} e^{- 19 t} + c_{2} e^{- 14 t} + c_{3} e^{14 t}

y = c_{1} e^{- 19 t} + c_{2} e^{- 14 t} + c_{3} e^{14 t}

Graph

Beliebte Beispiele

40y^{''}-ay^'+4000y=0

40 y^{^{''}} - a y^{^{'}} + 4000 y = 0

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

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

y^{''}-6y+9y=0,y^1(0)=e^{3x}

y^{^{''}} - 6 y + 9 y = 0, y^{1} (0) = e^{3 x}

y^{''}-3y^'+2y=0,y(0)=1,y^'(0)=1

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = 1

y^{''}+2y^'+y=0,y(1)=6,y^'(0)=6

y^{^{''}} + 2 y^{^{'}} + y = 0, y (1) = 6, y^{^{'}} (0) = 6