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Title: Algebra _ Undetermined Coefficients
Description: Algebra _ Undetermined Coefficients In mathematics, the method of undetermined coefficients is an approach to finding a particular solution to certain non homogeneous ordinary differential equations and recurrence relations.

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Algebra
Undetermined coefficients

1
...


Solution:

ax3 + bx2 + cx + d = 7x3 – 10x2 – 3x – 12
...


If ( x + m)2  x2 + px + 9, Find m and p
...


Given (2A +B) x + (A + B)  11x + 7, find the values of A and B
...


If M ( x + 3) + N (x – 2)  8x + 9, find the values of M and N
...


= 9

5M

= 25

M

= 5

N

= 3

If P( x + 1) ( x + 2) + Q (x – 1)  x2 + 6x – 1, find the values of P and Q
...


Given P (2x) + Q (1 – x) (1 + x)  x – 2x2, find the values of P and Q
...


P (1)

= 2 – 2 (2)2
= 2–8

= 6

= 2
= 1 – 2(1)2

P

= 1–2

P

= 1

= 1

If A (x – 1) (x – 2) ( x – 3) + B (x – 1) ( x – 2) + C (x – 1) + D  x3, find the
values of A, B, C and D
...


Given A ( x – 2)3 + B (x – 2)2 + C (x – 2) + D = 2x3 + 8x2 + 22x + 22 find
the values of A, B, C and D
...


= 114


Title: Algebra _ Undetermined Coefficients
Description: Algebra _ Undetermined Coefficients In mathematics, the method of undetermined coefficients is an approach to finding a particular solution to certain non homogeneous ordinary differential equations and recurrence relations.