91248d3c-5e4b-4589-a1ec-da4c383c551b 25 6 9 decimal

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

Maple: unexpected bug

t 1 + (3 t * - exp *

t sqrt 12 / t ln * exp ≡ identity ≡

t q t 1 + (3 t * - exp * :

t q t sqrt fails ≡ t 1 + (3 t * - exp * solves ≡ 21 mat ≡

s L t q t s laplace maple :

s L 3 s + 3 s + (2^+ 3 s + (3^/

1.25 x 1 + ln *

t 0 :

y0 y1 m m s F y0 s - m - (* y1 - s L - s 2^s m * + n + (/ (- :

t 1 + (3 t * - exp * 1

Explain:

The sqrt(t) bug is at the LaplaceInverse of F(y0,y1,m,m,s). It does not take fractional power of 's'. Definitively, it is a Maple bug. The Mathcad 11/Maple solves. There may be a code about 's'. It may not be a Maple bug. It may just be Smath does not have permission for accessing the Maple fractional 's' code.

Why so many brackets ? pertinent question ! It does what I prefer  ... it collects
in a much more visible expansion. How  I got it ? ... From the green "allvalues
simplify"  <= I have backspace the letters. Though the expansion is damned long,
it can be exported  [maybe just for the fun or as a coding exercise]. y0 y1 m n t f y0 y1 m m s F t 0 > assume s t invlaplace ((maple :

y0 1 :

y1 0 :

m 0.5 :

n 1.375 :

x 0 ≥ ( x 10 ≤ ( & y0 y1 m n x f Outside DE solution if 0 2 1 sys

Homogeneous 2nd DE under q(t) forcing

t q t 1 + (3 t * - exp * ≡

y0 y1 m m s F t 0 > assume s t invlaplace simplify allvalues maple