... Laplace transform, which literally transforms the original differ-ential equation into an elementary algebraic expression. This lattercan then simply be transformed once again, into the solution ... Principles4killing off the limit term in (1.3).Let us use the preceding to calculate L( cos ωt) and L( sin ωt)(ω real).Example 1.2. We begin with L( eiωt) ∞0e−steiωtdt limτ→∞e(iω−s)tiω ... and for his many helpful suggestions. I am alsoindebted to Aimo Hinkkanen, Sergei Federov, Wayne Walker, NickDudley Ward, and Allison Heard for their valuable input, to Lev Pli-mak for the diagrams,...