Problem

Although the real general solution form (9) is convenient, it is also possible to use th...

Although the real general solution form (9) is convenient, it is also possible to use the form

to solve initial value problems, as illustrated in Example 1. The coefficients d1 and d2 are complex constants.

(a) Use the form (21) to solve Problem 21. Verify that your form is equivalent to the one derived using (9).

(b) Show that, in general, d₁ and d₂ in (21) must be complex conjugates in order that the solution be real.

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Solutions For Problems in Chapter 4.3

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