Show that (6) with n = 0 gives P 0 (x) = 1 and (7) gives (use ln (1 + x) = x - 1/2x 2 + 1/3x 3 + ....) Verify this by solving (1) with n = 0, setting z = y' and separating variables. 32(x)=x+ 228 +20+ x+ = 글 In 1+x 1-x
Chapter 5, PROBLEM SET 5.2 #1
Show that (6) with n = 0 gives P0(x) = 1 and (7) gives (use ln (1 + x) = x - 1/2x2 + 1/3x3 + ....)
Verify this by solving (1) with n = 0, setting z = y' and separating variables.
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