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Beliebt Rechnen >

100(10^{-6})y^{''}+1/500 y^'+y=0

Lösung

100 (1 0^{- 6}) y^{^{''}} + \frac{1}{500} y^{^{'}} + y = 0

Lösung

y = e^{- 10 t} (c_{1} cos (3011 t) + c_{2} sin (3011 t))

Schritte zur Lösung

100 (1 0^{- 6}) y^{''} (t) + \frac{1}{500} y^{'} (t) + y = 0

Solve linear ODE:

y = e^{- 10 t} (c_{1} cos (3011 t) + c_{2} sin (3011 t))

y = e^{- 10 t} (c_{1} cos (3011 t) + c_{2} sin (3011 t))

Graph

Beliebte Beispiele

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

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

16y^{''}+40y^'+50y=0

16 y^{^{''}} + 40 y^{^{'}} + 50 y = 0

y^{''}-16y=0,y(0)=e^{4x},y(0)=9,y^'(0)=3

y^{^{''}} - 16 y = 0, y (0) = e^{4 x}, y (0) = 9, y^{^{'}} (0) = 3

y^{''}+y^'+24y=0,y(0)=0,y^'(0)=-7

y^{^{''}} + y^{^{'}} + 24 y = 0, y (0) = 0, y^{^{'}} (0) = - 7

0.001y^{''}+10y=0

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