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Beliebt Rechnen >

y^{'''}-2y^{''}-29y^'-42y=0

Lösung

y^{^{'''}} - 2 y^{^{''}} - 29 y^{^{'}} - 42 y = 0

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} + c_{3} e^{7 t}

Schritte zur Lösung

y^{'''} (t) - 2 y^{''} (t) - 29 y^{'} (t) - 42 y = 0

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} + c_{3} e^{7 t}

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} + c_{3} e^{7 t}

Graph

Beliebte Beispiele

1/2 x^{''}+3/2 x^'+x=0

\frac{1}{2} x^{^{''}} + \frac{3}{2} x^{^{'}} + x = 0

y^{''}+2y^'+100y=0

y^{^{''}} + 2 y^{^{'}} + 100 y = 0

24/32 x^{''}+6x=0,x(0)=0.5,x^'(0)=0

\frac{24}{32} x^{^{''}} + 6 x = 0, x (0) = 0.5, x^{^{'}} (0) = 0

(d^4y)/(dx^4)-(dy)/(dx)=0

\frac{d ^{4} y}{d x ^{4}} - \frac{d y}{d x} = 0

y^{''}-4y^'+5y=0,y(0)=2,y^'(0)=-5

y^{^{''}} - 4 y^{^{'}} + 5 y = 0, y (0) = 2, y^{^{'}} (0) = - 5