Question

With the help of _____________________ Mr.Melin gave inverse laplace transformation formula.

(a) Theory of calculus

(b) Theory of probability

(c) Theory of statistics

(d) Theory of residues

I have been asked this question in exam.

I'd like to ask this question from Solution of DE With Constant Coefficients using the Laplace Transform in portion Laplace Transform of Engineering Mathematics

Answer 1

Correct option is (d) Theory of residues

The best explanation: Let f(t) be the function in time. The laplace transformation of the function is L[f(t)] = F(s). So, the inverse laplace transform of F(s) comes out to be the function f(t) in time. The formula for laplace transform is derived using the theory of residues by Mr.Melin.