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Beliebt Rechnen >

y^{'''}+10y^{''}+9y^'=0

Lösung

y^{^{'''}} + 10 y^{^{''}} + 9 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{- t} + c_{3} e^{- 9 t}

Schritte zur Lösung

y^{'''} (t) + 10 y^{''} (t) + 9 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + c_{3} e^{- 9 t}

y = c_{1} + c_{2} e^{- t} + c_{3} e^{- 9 t}

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=0,y(0)=0,y^'(0)=1

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = 0, y^{^{'}} (0) = 1

y^{''}-7y^'+10y=0,y^'(0)=-1/3

y^{^{''}} - 7 y^{^{'}} + 10 y = 0, y^{^{'}} (0) = - \frac{1}{3}

(D^{2} - 6 D + 25) y = 0

4y^{''}+4y^'+y=0,y(0)=-1,y^'(0)=2

4 y^{^{''}} + 4 y^{^{'}} + y = 0, y (0) = - 1, y^{^{'}} (0) = 2

(d^2y)/(dx^2)+36y=0

\frac{d ^{2} y}{d x ^{2}} + 36 y = 0