806c10d5-f555-4543-b8c9-3d9036249143 2 4 5 decimal

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s F 1 L / s s 2^s R L / * + 1 L C * / + / (* :

Laplace algebra

maple assume(t>0) often not needed, meet all F(s)

t RLC s F t 0 > assume s t invlaplace maple :

t RLC R t * 2 L * / - exp 4 L * - R 2^C * + L 2^C * / - sqrt t * 2 / cos 4 L * - R 2^C * + (* 4 L * - R 2^C * + L 2^C * / - sqrt R * 4 L * - R 2^C * + L 2^C * / - sqrt t * 2 / sin * L * C * + (* 4 L * - R 2^C * + (L * /

s F 1 L H * / s s 2^s R Ω * L H * / * + 1 L H * C * F * / + / (* :

Laplace algebra

maple assume(t>0) often not needed, meet all F(s)

t RLC s F t 0 > assume s t invlaplace maple :

t RLC A 2^s 2^* R t * 2 s * L * / - exp * 4 L * - R 2^C * + L 2^C * / - sqrt t * 2 s * / cos 4 L * - R 2^C * + (* 4 L * - R 2^C * + L 2^C * / - sqrt R * 4 L * - R 2^C * + L 2^C * / - sqrt t * 2 s * / sin * L * C * + (* kg 4 L * - R 2^C * + (* L * m 2^* /

s F 1 L'H * / s s 2^s R'Ω * L'H * / * + 1 L'H * C *'F * / + / (* :

Laplace algebra

t RLC s F t 0 > assume s t invlaplace maple :

t RLC R'Ω * t * 2 L *'H * / - exp'H 2^- sqrt 4 L *'H * - R 2^C *'F *'Ω 2^* + L 2^C * / sqrt t * 2'F sqrt *'H 2^- sqrt * / cos * 4 L *'H * - R 2^C *'F *'�� 2^* + (* 4 L *'H * - R 2^C *'F *'Ω 2^* + L 2^C * / sqrt R *'Ω * 4 L *'H * - R 2^C *'F *'Ω 2^* + L 2^C * / sqrt t * 2'F sqrt *'H 2^- sqrt * / sin * L *'H * C *'F sqrt * + (*'H 2^- sqrt 4 L *'H * - R 2^C *'F *'�� 2^* + (* L *'H * /