Laplace Transform

By Dr Jawahar Lal Chaudhary

Let f(t) be a function of t defined all for all t > 0 then the laplace transforms of f(t) denoted by L{f(t)} is defined by L{f(t)}=∫_0 ∞▒e (-st) f(t)dt This integral exists (i.e ., has some finite value ) It is a function of s, say F(s) or f(s) i.e ., L{f(t)}= L(f) = F(s) = f ̅(s) ∴f(t) = L (-1) (f) =L (-1) { f(s)} Thenf(t) is called inverse Laplace Transform off ̅(s) The symbolL, which transforms f(t) into f(s) is called the Laplace Transformation operator .

• Format: Paperback
• Language: English
• ISBN: 1387215892
• ISBN13: 9781387215898
• Release Date: September 2017
• Publisher: Lulu.com
• Length: 92 Pages
• Weight: 0.30 lbs.
• Dimensions: 9.0" x 0.2" x 6.0"