October 19

section covered in text

4.5.  Homogeneous Linear Equations with Constant Coefficients
 

• to be able to use auxiliary equations to derive general solutions
• to be able to solve homogeneous linear equations with constant coefficients with initial conditions
•  to be able to use auxiliary equations when there are repeated roots
• to be able to solve Cauchy-Euler equations

• auxiliary equations
• distinct vs. repeated roots
• Cauchy-Euler equations

• using auxiliary equations, #1,10 (repeated roots),12 (quadratic formula)
• solving given initial value problem, #19
• finding solutions to third order differential equation, #26
• finding general solution to Cauchy-Euler equations, #33
• finding general solution to Cauchy-Euler equations with initial values, #40
• using the calculator to obtain solutions, #49a

QUESTION OF THE DAY

Evaluate

SOLUTION

SOLUTION.