September 21

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
• determining if an equation is separable, linear, exact or not, #1,3
• test for exactness
• method for solving exact equations
• applying the test and solving the equation, #9,13,18
• solving initial value problem,#23
• finding general functions, M(x,y), #28a
• finding exact equaions from non-exact equations, #29
• orthogonal trajectories, #32

QUESTION OF THE DAY

Find the integral

SOLUTION

SOLUTION.