2c895591-3e1d-4f44-a103-d6fbee4d69e4 9 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

s F 10 s 2^2 s * + 10 + / 1 s / * : t f.s 1 t - exp 3 / 33 t * cos * 3 t * sin + (* - : t q s F s t invlaplace maple : 31 sys

3 appVersion 0.98.6179 ≡

Where does it come from ?

x q 1 0 x ≤ ( cases * x f.s 1 0 x ≤ ( cases *

s L 1 0.2 s * + (1 0.5 s * + (* 10 s * 0.8 + (1 0.2 s * + (* 1 0.5 s * + (* 1 0.05 / + / :

t sol s L t 0 > assume s t invlaplace allvalues maple :

0 x ≤ x Sol Re if x datum 21 sys

4. Maple stacks the solutions in a vector of functions. 5. The complete solution is the Σ indexed from the vector functions solutions. 6. For this simple system, the imaginary terms canclel each other: thus compatible to Smath QuickPlot.

t Sol t sol 1 el t sol 2 el + t sol 3 el + :

x datum 0 :

0 Sol abs 0.1

0 Sol abs ∞ XFR ≡

System response under step perturbation

0 x ≤ x Sol Re if x datum 2 1 sys

Yaxis Hz sec / ≡ over time evolution X in sec. ≡

Note: what's that "allvalues" ? For subprocessing, as it may apply, Maple collects solutions in term of their 'RootOf' solutions, uselees for us. "allvalues" explodes each of these RootOf solutions appended of their numerical values, i.e: analytic solutions.

t q 1536 - (12 /^* 11 - 36 - (12 /^2 / + (t * exp * 1 - 36 - (12 /^2 / + / 11 - 36 - (12 /^2 / - (t * exp * 1 - 36 - (12 /^2 / - / - (* 18 / -

536 - (12 /^* 18 / 1.6667 i *

1 - 36 - (12 /^2 / + 1 - 3 i * +

1 - 36 - (12 /^2 / - 1 - 3 i * -

t m 1 1.6667 i * 11 - 3 i * + (t * exp * 1 - 3 i * + / 11 - 3 i * - (t * exp * 1 - 3 i * - / - (* - :

x m 1 0 x ≤ ( cases *