February 17

section covered in text
2.3  Linear Equations (conclusion)

solved problems-using key ideas

solving an initial value problem, #21
using definite integration, #25
constant multiples of solutions: dy/dx + P(x) y = 0 with the solution f(x).  Show Cf(x) is a solution.
existence and uniqueness theorem

section covered in text
2.4  Exact Equations

objective

• to be able to recognize exact equations by applying test
• to be able to find a general solution to an exact equation
• to be able to solve an initial value problem of an exact equation

• exact equation
• orthogonal trajectories

solved problems - using key ideas

• motivation for exact differential form
• classifying differential equations, #1,3,5,7
• test for exactness
• method for solving exact equations
• applying the test and solving the equation, #9,13,18

QUESTION OF THE DAY

Find the integral

SOLUTION

SOLUTION.