MATH


MATH

So MATH


25 = A(s2 + 25) + (Bs + C)(s + 2)

We need to solve for A, B and C.

First, let s = −2 and this gives

25 = 29A

Thus A = 25/29

Next, we equate coefficients of s2:

$0=A+B\qquad $gives $B=-\dfrac{25}{29}$

Equating coefficients of $s$:

$0=2B+C$ gives $C=\dfrac{50}{29}$

So
MATH

So we have

MATH A
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