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Beliebt Rechnen >

0.25(d^2x)/(dt^2)+0.1(dx)/(dt)+x=0

Lösung

0.25 \frac{d ^{2} x}{d t ^{2}} + 0.1 \frac{d x}{d t} + x = 0

Lösung

x = e^{- \frac{t}{5}} (c_{1} cos (\frac{3 11 t}{5}) + c_{2} sin (\frac{3 11 t}{5}))

Schritte zur Lösung

0.25 \frac{d ^{2} x}{d t ^{2}} + 0.1 \frac{d x}{d t} + x = 0

Solve linear ODE:

x = e^{- \frac{t}{5}} (c_{1} cos (\frac{3 11 t}{5}) + c_{2} sin (\frac{3 11 t}{5}))

x = e^{- \frac{t}{5}} (c_{1} cos (\frac{3 11 t}{5}) + c_{2} sin (\frac{3 11 t}{5}))

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+9.8x=0

\frac{d ^{2} x}{d t ^{2}} + 9.8 x = 0

y^{^{''}} + 0.75 y = 0

3/2 y^{''}+3y^'+15y=0

\frac{3}{2} y^{^{''}} + 3 y^{^{'}} + 15 y = 0

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

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

(D^{5} - D^{3}) y = 0