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Beliebt Rechnen >

(d^2x)/(dt^2)+6(dx)/(dt)+10x=0

Lösung

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 10 x = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 10 x = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}+2y^{''}+4y^'+8y=0

y^{^{'''}} + 2 y^{^{''}} + 4 y^{^{'}} + 8 y = 0

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

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

y^{''}-y^'-2y=0,y(0)=-2,y^'(0)=5

y^{^{''}} - y^{^{'}} - 2 y = 0, y (0) = - 2, y^{^{'}} (0) = 5

y^{''}+16y=0,y(0)=2,y^'(0)=8

y^{^{''}} + 16 y = 0, y (0) = 2, y^{^{'}} (0) = 8

2x^{''}+4x^'+10x=0

2 x^{^{''}} + 4 x^{^{'}} + 10 x = 0