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hw3-30.doc
(Please solve for only #30. Thank you.)
This provides an example of sketching a phase line for an autonomous differential equation.
Differential Equations - For each of the following ordinairy differential equations, indicate its order, whether it is linear or nonlinear, and whether it is autonomous or non-autonomous.
a) df/dx +f^2=0
(See attachment for ...
Differential Equations : Phase Lines - Suppose you wish to model a population with a differential equation of the form dP/dt = f(p), where P(t) is the population at time t. Experiments have been performed on the population that give the fo ...
Differential Equations : Tangents and Solutions - Consider the differential equation (dy/dx) = (-xy^2)/2. Let y=f(x) be the particular solution to this differential equaiton with the initial condition f(-1)=2.
a) On the axis provided sketch a slo ...