41ee2ebf-c6c5-4fcf-ab36-9107050a0375 7 4 5 decimal

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

allvalues expands Maple kernel RootOf ≡ Maple stacks 3 solutions t sol 1 el t sol 2 el t sol 3 el 31 mat ≡ 21 mat

t sol p s t invlaplace allvalues maple :

collect the complete solution t Sol t sol 1 el t sol 2 el + t sol 3 el + :

t F t sol 2 el :

x damped 0 x ≤ x F Re Undefined if :

x enveloppe 0 x ≤ x F abs Undefined if :

x damped x enveloppe x enveloppe - 3 1 sys

TurboGen regulation

The imaginary terms cancel each other. The solution is finally Re[Sol(t)]

P p parfrac s convert maple :

P 55 s + (* 2 s + (* 286533 s * + (* 177 s 2^* + 25 s 3^* + (* /

x p 55 x + (* 2 x + (* 286533 x * + (* 177 x 2^* + 25 x 3^* + (* / :

x λ 10 x ≤ cases :

x p x λ *

12273221381717300000000000002839502998 sqrt * + 3 nthroot (2^* 2839502998 sqrt * + 3 nthroot * 6.8444 1030^*

t 1281613 nthroot 2839502998 sqrt * + 3 nthroot * 118 - 613 nthroot 2839502998 sqrt * + 3 nthroot * + (* + i 3 sqrt * 12816123 /^2839502998 sqrt * + (23 /^* - (* + (* 50613 nthroot * 2839502998 sqrt * + 3 nthroot * / exp 12273221381717300000000000002839502998 sqrt * + 3 nthroot (2^* 2839502998 sqrt * + 3 nthroot (* /