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Beliebt Rechnen >

x^{'''}+9*x^{''}+x^'+9x=0

Lösung

x^{^{'''}} + 9 \cdot x^{^{''}} + x^{^{'}} + 9 x = 0

Lösung

x = c_{1} e^{- 9 t} + c_{2} cos (t) + c_{3} sin (t)

Schritte zur Lösung

x^{'''} (t) + 9 \cdot x^{''} (t) + x^{'} (t) + 9 x = 0

Solve linear ODE:

x = c_{1} e^{- 9 t} + c_{2} cos (t) + c_{3} sin (t)

x = c_{1} e^{- 9 t} + c_{2} cos (t) + c_{3} sin (t)

Graph

Beliebte Beispiele

(D^3-3D^2-10D)y=0

(D^{3} - 3 D^{2} - 10 D) y = 0

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

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

y^{''}-9y=0,y(0)=5,y^'(0)=9

y^{^{''}} - 9 y = 0, y (0) = 5, y^{^{'}} (0) = 9

(d^2y)/(dt^2)+6(dy)/(dt)+9y=0,y(0)=2

\frac{d ^{2} y}{d t ^{2}} + 6 \frac{d y}{d t} + 9 y = 0, y (0) = 2

x^{''}+3x^'-4x=0

x^{^{''}} + 3 x^{^{'}} - 4 x = 0