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Section 4.5 Separation of variables
Objectives
Solve simple differential equations by separating variables and integrating each side.
Interpret solutions such as Newton’s law of cooling in terms of approach to equilibrium.
Handle logarithmic integrals carefully by choosing signs consistent with initial conditions.
Use Newton’s Law of Heat Transfer example. Solve using separation of variables, and in the process look at integrals of logarithmic functions (including the absolute value).
