Biochemistry 2280A Study Guide - Midterm Guide: Leslie Matrix, Coefficient Matrix, Yy1
13 Mar 2018
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Order of de = highest derivative in equation. Logistic growth model: dn/dt r (1 n/k)n , where k = carrying capacity. When asked to verify if a function is a solution of a de, test if derivative of function = de with function plugged into it as x. When asked to find fastest growing rate, find derivative of given equation (could be 2nd order) and set to 0 to find max. value, then plug back into original to find x value: integration. Methods of integration: integrate normally, foil or division, substitution: let u = denominator not including the power unless lnx or sqrtx is present, integration by parts: Use late to denote u and dv. Use formula: uv - svdu: solving des, take integral of y" (make sure to include dx, solution must contain + c, if initial condition is given, solve for c, seperable des. Find equilibrium by setting derivative to 0 and solving for y.
