Question

i want to find the inverse laplace transform of the function H(s)=s+7/(s^2-3*s-10) using partial fractions so H(s)= A/(s+2) + B/(s-5).
what is A=?
what is B=? i want to find the inverse laplace transform of the function H(s)=s+7/(s^2-3*s-10) using partial fractions so H(s)= A/(s+2) + B/(s-5).
what is A=?
what is B=? @Mathematics

Answer 1

s+7/(s^2-3*s-10) = A/(s+2) + B/(s-5) ; multiply both side by the common denominator

s+7= A(s-5) + B(s+2)

now the easiest thing to do is to zero out A then B, say s=5

5+7= A(5-5) + B(5+2)

12= B(7)

B = 7/12

say s=-2

-2+7= A(-2-5) + B(-2+2)

5= A(-7)

A = -5/7

Answer 2

b=12/7.
now apply the inverse laplace transform to the above result?

Answer 3

if that is your goal then yes. But I dont know how to do a laplace inverse. its on my todo list :)