Matlab problem need MATLAB code a Find the equilibrium solut

Matlab problem

need MATLAB code

a. Find the equilibrium solutions of the differential equation.

b. Use dsolve to find the solutions with initial values when t = 0.

c. Plot the equilibrium solutions from part (a) and three solutions from part (b)

together with the direction field (or slop field) on the same window [-2, 2] x [-1, 3]

and then use different color pencils to mark the solutions from part (b).

d. Classify the types of the critical points and explain why according to your graphs.

Solution

IDENTIFICATION DIVISION.
PROGRAM-ID. PROG-ONE.
AUTHOR. MARKIED JONES.


FD PATRON-LIST.
01 PATRON-LINE PIC X(80).



surroundings DIVISION.   

INPUT-OUTPUT SECTION.   
FILE-CONTROL.   
choose PATRON-FILE ASSIGN TO INFILE.   
choose PATRON-LIST ASSIGN TO OUTFILE.

knowledge DIVISION.

FILE SECTION.   
FD PATRON-FILE.
01 PATRON-RECORD.
03 PR-NAME PIC X(18).   
03 PR-ADDRESS PIC X(18).   
03 PR-CITY-STATE-ZIP PIC X(24).   
03 PR-TARGET-CONTR PIC 9(4).
03 PR-ACTUAL-CONTR PIC 9(4).
03 PR-CONTR-DATE.   
05 PR-CONTR-MONTH PIC XX.
05 PR-CONTR-DAY PIC XX.
05 PR-CONTR-YEAR PIC XX.
03 FILLER PIC X(6).
  
  
03 FILLER PIC X.
  
  
  
  
  
  
  
  
  
WORKING-STORAGE SECTION.   
  
01 PATRON-LINE-1.
03 FILLER PIC X.
03 PL-NAME PIC X(18) .
03 FILLER PIC X.
03 PL-ADDRESS PIC X(18).
03 FILLER PIC XX.   
03 PL-CITY-STATE-ZIP PIC X(24).
  
01 WS-HEADER-LINE-1.   
  
03 FILLER PIC X(18) price areas.   
03 FILLER PIC X(7) price \"INDIANA\".
03 FILLER PIC X price area.
03 FILLER PIC X(10) price \"UNIVERSITY\".   
03 FILLER PIC X price area.
03 FILLER PIC X(2) price \"OF\".   
03 FILLER PIC X price area.
03 FILLER PIC X(12) price \"PENNSYLVANIA\".
  
01 WS-HEADER-LINE-1-UL.
  
03 FILLER PIC X(18) price areas.   
03 FILLER PIC X(7) price \"-\".
03 FILLER PIC X price area.
03 FILLER PIC X(10) price \"-\".
03 FILLER PIC X price area.
03 FILLER PIC X price \"-\".

01 HEADER-LINE-2.
03 FILLER PIC X(20) price areas.   
03 FILLER PIC X(8) price \"COMPUTER\".   
03 FILLER PIC X price area.
03 FILLER PIC X(7) price \"SCIENCE\".
03 FILLER PIC X price area.
03 FILLER PIC X(10) price \"DEPARTMENT\".
01 HEADER-LINE-2-UL.   
03 FILLER PIC X(20) price areas.   
03 FILLER PIC X(8) price ALL \"-\".
03 FILLER PIC X price area.
03 FILLER PIC X(7) price ALL \"=\".
03 FILLER PIC X price area.
03 FILLER PIC X(10) price ALL \"-\".
01 HEADER-LINE-3.
03 FILLER PIC X(22) price areas.   
03 FILLER PIC X(7) price \"LISTING\".
03 FILLER PIC X price area.
03 FILLER PIC X(2) price \"OF\".   
03 FILLER PIC X price area.
03 FILLER PIC X(7) price \"PATRONS\".
01 HEADER-LINE-3-UL.   
03 FILLER PIC X(22) price areas.   
03 FILLER PIC X(7) price \"-\".
03 FILLER PIC X price area.
03 FILLER PIC X(6) price \"-\".
03 FILLER PIC X(15) price areas.   
03 FILLER PIC X(6) price \"-\".
01 WS-COLUMN-HEADER-2.
03 FILLER PIC X(4) price areas.   
03 FILLER PIC X(4) price \"NAME\".   
03 FILLER PIC X(8) price areas.   
03 FILLER PIC X(7) price \"ADDRESS\".
03 FILLER PIC X(12) price areas.   
03 FILLER PIC X(14) price \"CITY-STATE-ZIP\".   
01 WS-COLUMN-HEADER-2UL.
03 FILLER PIC X(4) price areas.   
03 FILLER PIC X(4) price \"-\".
03 FILLER PIC X(8) price areas.   
03 FILLER PIC X(7) price \"-\".
03 FILLER PIC X(12) price areas.   
03 FILLER PIC X(14) price \"-\".
01 WS-FOOTER-LINE-1.
03 FILLER PIC X(24) price   
\"TOTAL # OF PATRONS:\".   
03 WS-NUM-PATRONS PIC Z9.   
01 WS-FOOTER-LINE-2.
03 FILLER PIC X(32) price   
\"PROGRAMMED BY A COSC 220 STUDENT\".
  
  
  
01 WS-EOF-SWITCH PIC X(80).
PROCEDURE DIVISION.
  
000-PRINT-PATRON-LIST.   
OPEN INPUT PATRON-FILE   
OUTPUT PATRON-LIST
MOVE \"NO\" TO WS-EOF-SWITCH   
scan PATRON-FILE   
AT finish MOVE \"YES\" TO WS-EOF-SWITCH
END-READ   
PERFORM 100-PROCESS-PATRON-RECORD
till WS-EOF-SWITCH IS adequate to \"YES\"
shut PATRON-FILE PATRON-LIST
STOP RUN   
.
  
050-WRITE-HEADERS-PARA.
WRITE PATRON-LINE FROM WS-HEADER-LINE-1
WRITE PATRON-LINE FROM WS-HEADER-LINE-1-UL   
WRITE PATRON-LINE FROM WS-HEADER-LINE-2-UL
WRITE PATRON-LINE FROM WS-HEADER-LINE-3   
WRITE PATRON-LINE FROM WS-HEADER-LINE-3-UL
MOVE areas TO PATRON RECORD
  
WRITE PATRON-LINE FROM COLUM-HEADER-1   
WRITE PATRON-LINE FROM COLUM-HEADER-1-UL
WRITE PATRON-LINE FROM WS-COLUM-HEADER-2
WRITE PATRON-LINE FROM WS-COLUM-HEADER-2-UL   
WRITE PATRON-LINE FROM WS-FOOTER-LINE-1   
WRITE PATRON-LINE FROM WS-FOOTER-LINE-2   
  
MOVE areas TO PATRON RECORD
WRITE PATRON RECORD   
.   
100-PROCESS-PATRON-RECORD.
MOVE PR-NAME TO PL-NAME   
MOVE PR-ADDRESS TO PL-ADDRESS   
MOVE PR-CITY-STATE-ZIP TO PL-CITY-STATE-ZIP   
WRITE PATRON-LINE
scan PATRON-FILE
AT finish MOVE \"YES\" TO WS-EOF-SWITCH   
END-READ   
.   

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