Where an initial condition is given, (Sec. 1.1, #23; Sec. 1.2, #8; ; Sec. 1.4, #20, #23) highlight the solution curve that satisfies it. If points on the solution domain are prescribed, solution curves must pass through them.

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Description

Sec. 1.1, #23;  Sec. 1.2, #8;  Sec. 1.3, #3, #9;  Sec. 1.4, #20, #23;  Sec. 1.5, #8, #18;  Sec. 2.2, #15, #17.

For each problem, use a computer system + symbolic software tool (MATLAB, Maple, Mathematica, etc.), on-line graphing software or graphing calculator (if desired) to plot a slope field and several typical solution curves of the given differential equation on the same coordinate axes. Provide enough information to enable reproduction of your results.

Note :

(i)   Where an initial condition is given, (Sec. 1.1, #23;  Sec. 1.2, #8; ;  Sec. 1.4, #20, #23) highlight the

 solution curve that satisfies it. If points on the solution domain are prescribed, solution

 curves must pass through them.

(ii)  For Sec. 2.2, #15, #17, verify visually the stability of each critical pointt (stable, unstable or

       semistable). Explain.

(iii) No handwritten information on the project paper submitted for grading on May 01,  2020.

 


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