This problem illustrates how small changes in the
Chapter 2, Problem 2.37(choose chapter or problem)
This problem illustrates how small changes in the coefficients of a differential equation may cause dramatic changes in the solution. (a) Find the general solution (x) of y 2y + 2 y = 0 with = 0. (b) Find the general solution (x) of y 2y + (2 2 )y = 0 with a positive constant. (c) S (c) Show that, as 0, the solution in part (b) does not approach the solution in part (a), even though the differential equation in part (b) would appear to more closely resemble that of part (a) as is chosen smaller.
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