Unformatted text preview: ﬁrst transform an higher order diﬀerential equations into a system of ﬁrst order diﬀerential equations and then apply the methods. Example 4.2 . Rayleigh Equation In modeling the oscillations of a clarinet reed. Lord Rayleigh introduced an equation of the form mx 00 + kx = ax-b ( x ) 3 Find approximate solution for m = 1 ,k = 1 ,a = 2 ,b = 3 . and initial conditions x (0) = 1 ,x (0) =-2...
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- Spring '11
- Numerical Analysis, ORDER DIFFERENTIAL EQUATIONS, Numerical ordinary differential equations, Lord Rayleigh