Laplace Transforms - HP Mathematics II User Manual

Laplace transforms
u(t-a): IF t a < THEN 0 ELSE IF t a > then 1 END END
Laplace transforms are used for solving differential equa-
tions and can, contrary to other methods, deal with functions
f(t) that are discontinous in the equation
a*y" +b*y' + c*y=f(t) *
e
^~
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Discontinous f(t) may be composed by using the Unit Step
function u(t-a) defined as: ~
This function is not implemented in CALCULUS in other
ways than as a symbol, and the user has to make a program
~ <- -
to define it for evaluation. " I
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3. Laplace transforms _ 36