Separable equations.
Solving linear equations by finding a multiplying factor.
Finding a solution given particular initial data (“finding the constant C if you know f(3) =5”)
Applications: be able to formulate the differential equation that describes a “mixing problem.” This is new compared to previous years! To find a representative problem look at 105, 106, 107, 109, 110 in the notes.
Homogeneous equations: Find and solve the characteristic equation; write the general solution both in real and complex forms
Inhomogeneous equations: Find a particular solution, and find the general solution by solving the associated homogeneous equation. This topic will appear on the final, but not yet on Wednesday's midterm.
Like our other midterms this is a no-calculator exam.
A clearly and neatly written solution suggests that the writer knows what he/she is doing, and will tend to get more points.
If you have computed characteristic roots of an equation and if they are complex, draw them in the complex plane. (this also makes it look like you know what you're doing.)
Before applying the XYZ method to any problem, write which method you're about to use, and which steps it involves.
You should also apply this advice to your homework, whether you hand it in or not, and, in fact any time you work out a math problem.