Expression 28: "y" equals negative StartFraction, left parenthesis, StartRoot, "m" "g" , EndRoot "e" Superscript, StartNestedFraction, 2 "t" StartRoot, "m" "g" "K" , EndRoot NestedOver "m" , EndNestedFraction , Baseline minus StartRoot, "m" "g" , EndRoot , right parenthesis Over StartRoot, "K" , EndRoot plus StartRoot, "K" , EndRoot "e" Superscript, StartNestedFraction, 2 "t" StartRoot, "m" "g" "K" , EndRoot NestedOver "m" , EndNestedFraction , Baseline , EndFraction left brace, 0 less than or equal to "t" less than "t" Subscript, "I" 1 , Baseline , right bracey=−mge2tmgKm−mgK+Ke2tmgKm0≤t<tI1
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Expression 29: "y" equals StartFraction, "p" Over 2 "m" , EndFraction "e" Superscript, negative StartFraction, "p" Over 2 "m" , EndFraction "x" , Baseline left parenthesis, "A" Subscript, 1 , Baseline sin left parenthesis, "l" "x" , right parenthesis plus "B" Subscript, 1 , Baseline cos left parenthesis, "l" "x" , right parenthesis , right parenthesis minus "e" Superscript, negative StartFraction, "p" Over 2 "m" , EndFraction "x" , Baseline left parenthesis, "l" "A" Subscript, 1 , Baseline cos left parenthesis, "l" "x" , right parenthesis minus "l" "B" Subscript, 1 , Baseline sin left parenthesis, "l" "x" , right parenthesis , right parenthesis left brace, "t" Subscript, "I" 1 , Baseline less than or equal to "x" less than or equal to "t" Subscript, "F" 1 , Baseline , right bracey=p2me−p2mxA1sinlx+B1coslx−e−p2mxlA1coslx−lB1sinlxtI1≤x≤tF1
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Expression 30: "y" equals StartRoot, StartFraction, "m" "g" Over "K" , EndFraction , EndRoot tangent left parenthesis, negative StartRoot, StartFraction, "g" "K" Over "m" , EndFraction , EndRoot left parenthesis, "t" plus "E" Subscript, 1 , Baseline , right parenthesis , right parenthesis left brace, "t" Subscript, "F" 1 , Baseline less than or equal to "t" less than or equal to "t" Subscript, "R" 1 , Baseline , right bracey=mgKtan−gKmt+E1tF1≤t≤tR1