Homework Sourse1 8vv3 12v2 v 1 8vvv2 12v 1 Av Bv Cv2 12V 1 A v
1 + 8v/v^3 - 12v^2 - v = 1 + 8v/v(v^2 - 12v - 1) = A/v + Bv + C/v^2 + 12V - 1. => A (v^2 - 12v - 1) + (Bv + c) v = 1 + 8v => v^2 (A + B) + v (-12A + C) + (C - A) = 1 + 8v => A + B = O, -12A + C = 8 C - A = 1 - A + C = 1 + - -/-11A = 7 A = -7/11, C = 1 + A = 1 - 1/11 = 4/11 B = -A = 7/11.
Solution
The value of A is not equal to -1.
The following answer is correct and the value of A=-7/11
