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Differential Equations Spring 2010 University of Massachusetts Dartmouth

MTH 212 Section 1, Differential Equations, Spring 2010. 01 Structure of the course. 04 Classroom management and expectations. 05 Academic Calendar, Spring 2010. 06 UMass Dartmouth Student Academic Integrity Policy. Project 4, 2nd quarter, 2010. Project 3, 2nd quarter, 2010.

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The site had the following in the homepage, "The first graph pictured below is the easiest of the graphs to obtain." I noticed that the web site stated " Using the simple quadratic formula." They also stated " The aim was to obtain two real roots greater than zero. The vector field plot seen below for this first case can be seen to be follow the source trend. The eigenvalues used to obtain this vector field plot are. The following is the physical math done out to obtain the Eigen values for case 2 pictured above. Here is how this was done."

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Mgonnevillemth212s10s Blog Just another WordPress.com weblog

I am going to cut right to the point and explain some graphs we were able to produce in MatLab, rather then just ramble on with useless paragraphs of information. Here is the MatLab code that we used to provide the approximate curves for the graphs below.

Ncmeromth21202s Blog Just another WordPress.com weblog

We were given two equations that were to be used when plotting the vector fields. In these two equations a,b,c and d are all constants that were changed in order to get certain results. By changing these constants it alters the results that are obtained for eigenvalues. The eigenvalues are non-zero numbers that control how the vector fields act. The eigenvalues are represented by. These values were found by using the equation.

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