Differential equations (initial value problem)
Laplace transforms are suitable for solving initial value pro-
blems, in particular when the "right hand side function" is
The answer is given in the form Y(s) =P(s)/Q(s)/R(s) which
has to be transformed into P(s)/((Q(s)*R(s))) before the ro-
utine for partial fractions is used to solve the problem.
ay" + by' + cy = f(t)
f(t) t: 'SIN(t)' t
The equation y" + 3y'4-2y = Sin(t) with initial conditions
y(0) = 0 and y' (0) = 1 is transformed.
3. Laplace transforms