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Beliebt Rechnen >

y^{'''}+9y^{''}+8y^'=0

Lösung

y^{^{'''}} + 9 y^{^{''}} + 8 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{- t} + c_{3} e^{- 8 t}

Schritte zur Lösung

y^{'''} (t) + 9 y^{''} (t) + 8 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + c_{3} e^{- 8 t}

y = c_{1} + c_{2} e^{- t} + c_{3} e^{- 8 t}

Graph

Beliebte Beispiele

y^{''}-y^'+cy=0

y^{^{''}} - y^{^{'}} + cy = 0

4y^{''}-28y^'+49y=0

4 y^{^{''}} - 28 y^{^{'}} + 49 y = 0

y^{''}+6y=0,y(0)=1,y^'(0)=6

y^{^{''}} + 6 y = 0, y (0) = 1, y^{^{'}} (0) = 6

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

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

(d^2f)/(dx^2)=-a^2f(x)

\frac{d ^{2} f}{d x ^{2}} = - a^{2} f (x)