Please plan to attend the review section - more complete information
will be given there.
Exam I covers sections 1.1 - 2.3, 2.5 - 2.7. Chapter 1 consists
of
vocabulary and elementary examples. The sections from chapter
2 involve actual solutions.
When studying for the exam, please be sure you acquire the
following skills:
Know all definitions, terminology, etc. from chapter 1. There are
no direct questions on this, but it is obviously necessary to know
it.
Solve 1st order linear equation *) y' + p(t)y = q(t) and the I.V.P.
resulting when the IC y(t0) = y0 is added to *)
Solve Bernoulli equations by reducing them to linear form
Solve separable DE M(x)dx - N(y)dy = 0 and related IVPs
Solve tank or mixing problems
Solve problems involving Newton"s law of cooling or heating
Solve radioactive decay and half-life problems
Set up and solve problems involving thrown or dropped balls in
simple vertical motion, both in a vacuum and in a viscous medium
like air
Know the form and solution of the logistic equation y' = r(1 +
y/K)y, and the significance of r and K.
Solve exact equations and IVPs.
Do several iterations of Euler's method in a specific case to
approximate solutions, and check the results agaiunst an exact
solution
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