242d6887-1e73-4b03-b1e0-e95862df4181 4 4 5 decimal

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

ODE second order

eqn m t x t 2 diff * c t x t diff * + k t x * + :

0 x 1 ≡

0 x t diff 0 ≡

t x 2 eqn 0 ≡ t x dsolve op maple :

t x_C1 c c 2^4 m * k * - sqrt - (t * 2 m * / - exp *_C2 c c 2^4 m * k * - sqrt + (t * 2 m * / - exp * +

m 1 :

c 110 / :

k 4 :

_C 0 x 1 ≡ t 0 ≡ t x t diff subs 0 ≡ 21 sys_C1_C2 21 sys solve maple :

_C1_C 1 el :

_C2_C 2 el :

t x 1599 sqrt i 1 - i 1599 sqrt * + (* t 100 - sqrt 101599 sqrt * - (* 20100 - sqrt * / - exp * - i - 1599 sqrt + (t 100 - sqrt 101599 sqrt * + (* 20100 - sqrt * / - exp * + (* 3198 /

t x