SECTION 15.5
Series Solutions of Differential Equations
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SECTION
15.5
Series Solutions of Differential Equations
Power Series Solution of a Differential Equation Approximation by Taylor Series
Power Series Solution of a Differential Equation
We conclu
This note covers the key points of this class. They are fundamental
and should be understand in depth. Most of the nal problems will
be similar to these ones. Some nal problems will test your skills in
algebraic manipulations and mathematical maturity in
42
Nonhomogeneous Linear Systems
We can now expand our discussions to include nonhomogeneous linear systems; that is, systems
that can be written as
x = Px + g
where g is a nonzero vector-valued function. Fortunately, the basic theory and important method
This is a list of the key points that are covered during the rst half of
the session. All these examples are standard and have to be understood
in depth. The midterm problems will be similar to these problems.
Here by similar I mean the following. The sam