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Beliebt Rechnen >

y^{'''}-3y^{''}-10y^'=0

Lösung

y^{^{'''}} - 3 y^{^{''}} - 10 y^{^{'}} = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) - 3 y^{''} (t) - 10 y^{'} (t) = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

36y^{''}-108y^'+81y=0,y(0)=7,y^'(0)=1

36 y^{^{''}} - 108 y^{^{'}} + 81 y = 0, y (0) = 7, y^{^{'}} (0) = 1

y^{'''}+3y^{''}+y^'-205y=0

y^{^{'''}} + 3 y^{^{''}} + y^{^{'}} - 205 y = 0

y^{''}+8y^'+16y=0,y(0)=-1,y^'(0)=12

y^{^{''}} + 8 y^{^{'}} + 16 y = 0, y (0) = - 1, y^{^{'}} (0) = 12

x^{^{''''}} - x = 0

y^{'''}-6y^{''}+11y^'=0

y^{^{'''}} - 6 y^{^{''}} + 11 y^{^{'}} = 0