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Beliebt Rechnen >

y^{'''}+6y^{''}-15y^'-100y=0

Lösung

y^{^{'''}} + 6 y^{^{''}} - 15 y^{^{'}} - 100 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) + 6 y^{''} (t) - 15 y^{'} (t) - 100 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+2y^'+5y=0,y(0)=0

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 0

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

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

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

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

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

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

(d^2x)/(dt^2)+4x=0

\frac{d ^{2} x}{d t ^{2}} + 4 x = 0