March 12
section covered in text
4.5. Homogeneous Linear Equations with Constant Coefficients
objective
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to be able to use auxiliary equations to derive solutions
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to be able to solve homogeneous linear equations
with constant coefficients with initial conditions
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to be able to use auxiliary equations when there are repeated roots
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to be able to solve Cauchy-Euler equations
key ideas and/or vocabulary
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auxiliary equations
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distinct vs. repeated roots
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Cauchy-Euler equations
solved problems - using key ideas
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using auxiliary equations, #2,10,12
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solving given initial value problem, #19
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finding solutions to third order differential equation,
#28
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finding general solution to Cauchy-Euler equations,
#33
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finding general solution to Cauchy-Euler equations
with initial values, #39
announcements
Homework: #4,8,16,22,26,34,40,49a (due
3/19)
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SOLUTION.
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