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Beliebt Rechnen >

y^{'''}+3y^{''}-6y^'-8y=0

Lösung

y^{^{'''}} + 3 y^{^{''}} - 6 y^{^{'}} - 8 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) + 3 y^{''} (t) - 6 y^{'} (t) - 8 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+2(dy)/(dx)-15y=0

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} - 15 y = 0

y^{^{''}} = 10 y

(d^2y)/(dx^2)=a^2y

\frac{d ^{2} y}{d x ^{2}} = a^{2} y

y^{^{''}} + 6 y + 9 y = 0

linear y^{'''}-6y^{''}+12y^'-8y=0

l in e a r y^{^{'''}} - 6 y^{^{''}} + 12 y^{^{'}} - 8 y = 0