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Section 4.1 Differential equations
Objectives
Recognize differential equations as statements about how a quantity changes over time.
Connect basic motion laws to solving simple differential equations.
Use initial conditions to identify the specific solution that fits a given situation.
A differential equation is an equation that gives information about the derivative(s) of a function, and you need to find the original function that fits that description.
Use motion example from physics to start with
\(s''(t)=a\) and end up with
\(s(t)=s_{0}+v_{0}t+\tfrac12at^{2}\)
