Chapter 12: Q8-2P (page 562)
Find the norm of each of the following functions on the given interval and state the normalized function
Chapter 12: Q8-2P (page 562)
Find the norm of each of the following functions on the given interval and state the normalized function
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Get started for freeFor Problems 1 to 4, find one (simple) solution of each differential equation by series, and then find the second solution by the "reduction of order" method, Chapter 8, Section 7 (e).
Use the recursion relation (5.8a) and the values of and to find localid="1664340078504" , and . [After you have found , use it to find and so on for the higher order polynomials.]
Using (17.3) and (15.1) to (15.5), find the recursion relations for . In particular, show that .
Usingverify and also findand.
Expand each of the following polynomials in a Legendre series. You should get the same results that you got by a different method in the corresponding problems in Section 5.
x-x3
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