September 16
section covered in text
2.3 Linear Equations
objective
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to be able to find integrating factor, m
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to be able to
recognize linear first order differential equation
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to be able to
find a general solution to a linear first order differential equation
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to be able to
solve an initial value problem of a linear first order differential
equation
key ideas and/or vocabulary
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linear first order differential equation
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standard form
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integrating factor
solved problems-using key ideas
Motivation for m(x)
Derivation of m(x)
recognize separable and linear first order differential
equation, #1,2,3,5
finding a general solution, #8,13 (graph
solutions)
solving an initial value problem, #21
existence and uniqueness theorem
using definite integration, #25 (use calculator)
constant multiples of solutions: dy/dx + P(x)
y = 0 with the solution f(x). Show Cf(x)
is a solution.
announcements
Homework: #4,7,10,16,17,20,24,26,30,32
(due 9/23)
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QUESTION OF THE DAY
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Find the value of the definite integral
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SOLUTION
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SOLUTION.
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