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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

x^{'''} (t) + x^{''} (t) - 12 x^{'} (t) = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

x^{''}+16x=0,x(0)=0,x^'(0)=5

x^{^{''}} + 16 x = 0, x (0) = 0, x^{^{'}} (0) = 5

y^{''}+12y^'+36y=0,y(0)=3,y^'(0)=0

y^{^{''}} + 12 y^{^{'}} + 36 y = 0, y (0) = 3, y^{^{'}} (0) = 0