Question

y=1/(s+1) (s+6) partial fraction​

Answer 1

Answer:

$\frac{1}{5(s+1)} -\frac{1}{5(s+6)}$

Step-by-step explanation:

y = $\frac{1}{(s+1)(s+6)}$  ≡ $\frac{A}{(s+1)} +\frac{B}{(s+6)}$

Now, 1 = A(s+6) + B(S+1) ..............................(i)

if s= -6, (i)............. 1 = B(-5) ►B= 1/-5

again, s=-1, (i).............1 = A(5) ► A= 1/5

$\frac{1}{(s+1)(s+6)}$ = $\frac{1}{5(s+1)} -\frac{1}{5(s+6)}$