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For This Assignment,you are to form a group of 3 or 4 and research‘real world’ application of the mathematics associated with either linear algebra or differential equations. Your group will write a report, no more than 1500 words, structured as follows: • Introduce the subject area • Provide a detailed mathematical description of the problem • Discuss how mathematical analysis is used to help solve ‘real world’ problems associated with the chosen subject are • Included Graphical Representation of the problem your group has made with a caption clearly explaining the ﬁgure The report is to be submitted to blackboard as a PDF document and should be typed in either Word or LATEX. Your group is free to choose any topic it wishes but the topic should be sufﬁciently complex(i.e. noﬁrstorderODEs). If You Are Stuck, here is a list of appropriate differential equations used in science and engineering: • Newton’s law of cooling in thermodynamics • The Lotka-Volterra equations • Verhulst equation for biological population growth • The Navier-Stokers equations in ﬂuid dynamics • The shallow water equations • The convection-diffusion equation in ﬂuid