- 10 Suppose F Ir3 R Has Many Derivatives The Following Initial Value Problem Was Solved For Many Different Values Of 1 (135.56 KiB) Viewed 21 times
10. Suppose F: IR3 - R has many derivatives. The following initial value problem was solved for many different values of
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10. Suppose F: IR3 - R has many derivatives. The following initial value problem was solved for many different values of
10. Suppose F: IR3 - R has many derivatives. The following initial value problem was solved for many different values of a between -10 and 10. u"(x) = F%, (x), u'(%)), 0 < x < 1 (0) = 4, u'(0) = a (problem 10 continued) The graph below shows the value of u'(1) for each of these values of a. 20 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 -10 -20 a. Give the number of solutions to the two-point boundary value problem u" (%) = F(x, (%), u'(%), 0 < x < 1 (0) = 4, u'(1) = 10 b. Describe the process you would use to give excellent approximations to these solutions. =
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