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Beliebt Rechnen >

y^{''''}+y^{'''}-7y^{''}-y^'+6y=0

Lösung

y^{^{''''}} + y^{^{'''}} - 7 y^{^{''}} - y^{^{'}} + 6 y = 0

Lösung

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

Schritte zur Lösung

y^{(4)} (t) + y^{'''} (t) - 7 y^{''} (t) - y^{'} (t) + 6 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2y)/(dx^2)=-k^2y

\frac{d ^{2} y}{d x ^{2}} = - k^{2} y

x^{''}+144x=0,x(0)=3,x^'(0)=-48

x^{^{''}} + 144 x = 0, x (0) = 3, x^{^{'}} (0) = - 48

2y^{''}-8y^'+6y=0

2 y^{^{''}} - 8 y^{^{'}} + 6 y = 0

y^{'''}+4y^{''}-11y^'+6y=0

y^{^{'''}} + 4 y^{^{''}} - 11 y^{^{'}} + 6 y = 0

3y^{''}-4y^'+7y=0

3 y^{^{''}} - 4 y^{^{'}} + 7 y = 0