.MCAD 304020000 1 74 235 0 .CMD PLOTFORMAT 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 NO-TRACE-STRING 0 2 1 0 1 1 NO-TRACE-STRING 0 3 2 0 1 1 NO-TRACE-STRING 0 4 3 0 1 1 NO-TRACE-STRING 0 1 4 0 1 1 NO-TRACE-STRING 0 2 5 0 1 1 NO-TRACE-STRING 0 3 6 0 1 1 NO-TRACE-STRING 0 4 0 0 1 1 NO-TRACE-STRING 0 1 1 0 1 1 NO-TRACE-STRING 0 2 2 0 1 1 NO-TRACE-STRING 0 3 3 0 1 1 NO-TRACE-STRING 0 4 4 0 1 1 NO-TRACE-STRING 0 1 5 0 1 1 NO-TRACE-STRING 0 2 6 0 1 1 NO-TRACE-STRING 0 3 0 0 1 1 NO-TRACE-STRING 0 4 1 0 1 1 NO-TRACE-STRING 0 1 1 21 15 0 0 3 .CMD FORMAT rd=d ct=10 im=i et=3 zt=15 pr=3 mass length time charge temperature tr=0 vm=0 .CMD SET ORIGIN 0 .CMD SET TOL 0.001000000000000 .CMD SET PRNCOLWIDTH 8 .CMD SET PRNPRECISION 4 .CMD PRINT_SETUP 1.200000 1.218750 1.200000 1.200000 0 .CMD HEADER_FOOTER 1 1 *empty* *empty* *empty* 0 1 *empty* *empty* *empty* .CMD HEADER_FOOTER_FONT fontID=14 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD HEADER_FOOTER_FONT fontID=15 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFAULT_TEXT_PARPROPS 0 0 0 .CMD DEFINE_FONTSTYLE_NAME fontID=0 name=Variables .CMD DEFINE_FONTSTYLE_NAME fontID=1 name=Constants .CMD DEFINE_FONTSTYLE_NAME fontID=2 name=Text .CMD DEFINE_FONTSTYLE_NAME fontID=4 name=User^1 .CMD DEFINE_FONTSTYLE_NAME fontID=5 name=User^2 .CMD DEFINE_FONTSTYLE_NAME fontID=6 name=User^3 .CMD DEFINE_FONTSTYLE_NAME fontID=7 name=User^4 .CMD DEFINE_FONTSTYLE_NAME fontID=8 name=User^5 .CMD DEFINE_FONTSTYLE_NAME fontID=9 name=User^6 .CMD DEFINE_FONTSTYLE_NAME fontID=10 name=User^7 .CMD DEFINE_FONTSTYLE fontID=0 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=1 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=2 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=4 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=5 family=Courier^New points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=6 family=System points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=7 family=Script points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=8 family=Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=9 family=Modern points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=10 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD UNITS U=1 .CMD DIMENSIONS_ANALYSIS 0 0 .CMD COLORTAB_ENTRY 0 0 0 .CMD COLORTAB_ENTRY 128 0 0 .CMD COLORTAB_ENTRY 0 128 0 .CMD COLORTAB_ENTRY 128 128 0 .CMD COLORTAB_ENTRY 0 0 128 .CMD COLORTAB_ENTRY 128 0 128 .CMD COLORTAB_ENTRY 0 128 128 .CMD COLORTAB_ENTRY 128 128 128 .CMD COLORTAB_ENTRY 192 192 192 .CMD COLORTAB_ENTRY 255 0 0 .CMD COLORTAB_ENTRY 0 255 0 .CMD COLORTAB_ENTRY 255 255 0 .CMD COLORTAB_ENTRY 0 0 255 .CMD COLORTAB_ENTRY 255 0 255 .CMD COLORTAB_ENTRY 0 255 255 .CMD COLORTAB_ENTRY 255 255 255 .TXT 2 1 1 0 0 Cg a73.000000,73.000000,525 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue255;}{\fonttbl{\f0 \fcharset0\fnil Arial;}{\f1\fcharset2\fnil Symbol;}}\plain\cf1\fs20 \pard ECE 408 Computer Assignment #3\tab \tab Dr. James S. Kang, Cal Poly Pomona.\par Difference Equation\tab \tab \tab 408_ca3.mcd\par Solve the following difference equations.\par (a) y(k) + (5/6) y(k-1) + 1/6 y(k-2) = 0, y(-1) = 1, y(-2) = -1\par (b) y(k) + y(k-1) + 1/4 y(k-2) = 0, y(-1) = 1, y(-2) = -1\par \pard (c) y(k) + y(k-1) + 13/36 y(k-2) = 0, y(-1) = 1, y(-2) = -1\par \pard (d) y(k) + (5/6) y(k-1) + 1/6 y(k-2) = u(k), y(-1) = 1, y(-2) = 1\par \pard (e) y(k) + y(k-1) + 1/4 y(k-2) = (1/2){\up k}, y(-1) = 1, y(-2) = 1\par \pard (f) y(k) + y(k-1) + 13/36 y(k-2) = cos({\f1 p}k/4) u(k), y(-1) = 1, y(-2) = 1} .TXT 21 0 58 0 0 Cg a73.000000,73.000000,3 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue255;}{\fonttbl{\f0 \fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard (a)} .EQN 0 5 59 0 0 {0:a}NAME:(5)/(6) .EQN 0 7 60 0 0 {0:b}NAME:(1)/(6) .EQN 0 8 65 0 0 {0:ym2}NAME:-1 .EQN 0 9 66 0 0 {0:ym1}NAME:1 .EQN 4 -29 70 0 0 ({0:y}NAME)[(0):-{0:a}NAME*{0:ym1}NAME-{0:b}NAME*{0:ym2}NAME .EQN 0 18 71 0 0 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1 NO-TRACE-STRING 0 4 1 0 1 1 NO-TRACE-STRING 0 1 1 48 15 10 0 3 .EQN 0 61 201 0 0 ({0:y}NAME)[({0:k}NAME)=_n_u_l_l_ .TXT 35 -61 202 0 0 Cg a73.000000,73.000000,3 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue255;}{\fonttbl{\f0 \fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard (e)} .EQN 0 4 203 0 0 {0:a}NAME:1 .EQN 0 8 204 0 0 {0:b}NAME:(1)/(4) .EQN 0 10 205 0 0 {0:ym2}NAME:1 .EQN 0 9 206 0 0 {0:ym1}NAME:1 .EQN 0 10 232 0 0 ({0:x}NAME)[({0:k}NAME):(((1)/(2)))^({0:k}NAME) .EQN 5 -41 207 0 0 ({0:y}NAME)[(0):-{0:a}NAME*{0:ym1}NAME-{0:b}NAME*{0:ym2}NAME+({0:x}NAME)[(0) .EQN 0 24 233 0 0 ({0:y}NAME)[(1):-{0:a}NAME*({0:y}NAME)[(0)-{0:b}NAME*{0:ym1}NAME+({0:x}NAME)[(1) .EQN 5 -24 209 0 0 {0:k}NAME:2;10 .EQN 5 0 210 0 0 ({0:y}NAME)[({0:k}NAME):-{0:a}NAME*({0:y}NAME)[({0:k}NAME-1)-{0:b}NAME*({0:y}NAME)[({0:k}NAME-2)+({0:x}NAME)[({0:k}NAME) .EQN 6 0 211 0 0 {0:k}NAME:0;10 .EQN 7 0 212 0 0 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