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Beliebt Rechnen >

y^{'''}-y^{''}-24y^'-36y=0

Lösung

y^{^{'''}} - y^{^{''}} - 24 y^{^{'}} - 36 y = 0

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} + c_{3} e^{6 t}

Schritte zur Lösung

y^{'''} (t) - y^{''} (t) - 24 y^{'} (t) - 36 y = 0

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} + c_{3} e^{6 t}

y = c_{1} e^{- 2 t} + c_{2} e^{- 3 t} + c_{3} e^{6 t}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+225y=0

\frac{d ^{2} y}{d x ^{2}} + 225 y = 0

y^{'''}-8y=0,y(0)=1,y^'(0)=-1,y^{''}(0)=0

y^{^{'''}} - 8 y = 0, y (0) = 1, y^{^{'}} (0) = - 1, y^{^{''}} (0) = 0

linear y^{''}+4y^'+4y=0

l in e a r y^{^{''}} + 4 y^{^{'}} + 4 y = 0

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

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

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

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