Expression 8: "V" Subscript, "o" , Baseline left parenthesis, "t" , right parenthesis equals StartFraction, 1 Over "C" , EndFraction "e" Superscript, negative StartFraction, 1 Over "C" "R" , EndFraction "t" , Baseline left parenthesis, StartFraction, 1 Over "R" , EndFraction Start integral from 0 to "t" , end integral, "V" Subscript, "s" , Baseline left parenthesis, "a" , right parenthesis "e" Superscript, StartFraction, 1 Over "C" "R" , EndFraction "a" , Baseline "d" "a" plus "C" Subscript, 1 , Baseline , right parenthesisVot=1Ce−1CRt1R∫t0Vsae1CRada+C1
8
Expression 9: "u" left parenthesis, "t" , right parenthesis equals "V" plus left parenthesis, StartFraction, "C" Subscript, 1 , Baseline Over "C" , EndFraction minus "V" , right parenthesis "e" Superscript, negative StartFraction, 1 Over "C" "R" , EndFraction "t" , Baselineut=V+C1C−Ve−1CRt
9
Hidden Label: left parenthesis, StartFraction, "T" Over 2 , EndFraction , "V" plus left parenthesis, StartFraction, "C" Subscript, 1 , Baseline Over "C" , EndFraction minus "V" , right parenthesis "e" Superscript, negative StartFraction, 1 Over "C" "R" , EndFraction StartFraction, "T" Over 2 , EndFraction , Baseline , right parenthesisT2,V+C1C−Ve−1CRT2
Label
equals=
left parenthesis, 0.5 5 , 0.8 9 2 4 4 6 6 , right parenthesis0.55,0.8924466
10
Expression 11: "v" left parenthesis, "t" , right parenthesis equals left parenthesis, "e" Superscript, StartFraction, 1 Over "C" "R" , EndFraction StartFraction, "T" Over 2 , EndFraction , Baseline "V" plus left parenthesis, StartFraction, "C" Subscript, 1 , Baseline Over "C" , EndFraction minus "V" , right parenthesis , right parenthesis "e" Superscript, negative StartFraction, 1 Over "C" "R" , EndFraction "t" , Baselinevt=e1CRT2V+C1C−Ve−1CRt
11
Hidden Label: left parenthesis, "T" , left parenthesis, "e" Superscript, StartFraction, 1 Over "C" "R" , EndFraction StartFraction, "T" Over 2 , EndFraction , Baseline "V" plus left parenthesis, StartFraction, "C" Subscript, 1 , Baseline Over "C" , EndFraction minus "V" , right parenthesis , right parenthesis "e" Superscript, negative StartFraction, 1 Over "C" "R" , EndFraction "T" , Baseline , right parenthesisT,e1CRT2V+C1C−Ve−1CRT
Label
equals=
left parenthesis, 1.1 , 0.0 3 7 5 5 3 4 , right parenthesis1.1,0.0375534