9077e52b-6af1-4b5c-865d-284e836ae236 2 3 12 decimal

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

t q t sqrt :

s L t q t s laplace maple :

Mathematica 4.0 t 0.25^t 0.5^t 0.75^31 mat 0.906402 s 1.25^/ 0.886227 s 1.5^/ 0.919063 s 1.75^/ 31 mat ≡

s L π sqrt 2 s 2 nthroot 3^* /

s F Y0 s - m - (* Y1 - s L - s 2^s m * + n + (/ (- :

can't resume  t^
Laplace algebra Y0 Y1 m n t fnct s F t 0 > assume s t invlaplace maple 11 line :

solves nicely for unary 's'
or  q(t) producing "invlaplace".
Smath does not access Dirac Integral Y0 s - m - (* Y1 - 1 s / - s 2^s m * + n + (/ (- t 0 > assume s t invlaplace maple

Y0 0 :

Y1 0 :

m 0.5 - :

n 1 :

t0 1 time :

m n C 14 n * - m 2^+ / :

m n C 0.267 -

Solution 5 from the unaccessed maple is the Dirac integral solution to this DE m n t sol_5 m n C - (24 n * m 2^- (sqrt * u sqrt 0.5 m * t u - (* - exp * 0.5 4 n * m 2^- (sqrt * t u - (* sin * u 0 t int * (* :

x c 10 x ≤ (x 12 ≤ (& cases :

<= implies user initials =>
 ....... user choice ...... x Y D Y 2 el m - (Y 2 el * n - (Y 1 el * + x 0.5^+ 21 mat :

x0 0 : (start ≡ x1 12 : (end ≡ N 500 : (mesh ≡ 31 line

IC 0021 mat :

m n x sol_5 x c *

1 time t0 - min 2.2

sol IC x0 x1 N x Y D dn_GearsBDF : U sol 1 col sol 2 col augment : 21 sys

U U rows row 12 0.4315 - 12 mat

U 2 1 sys