Review 2 Math Fall 3350, Lecture notes of Noise Control

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Higher Mathematics

for Engineers and

Scientists I

Instructor:

Senwei Liang

Mathematics and Statistics department

MA 3350

High order ODE The general solution for the non-homogenous ODE becomes **Step

Step 4.** learned how to solve first order ODE, e.g., integration factor, exact equation, separable equation. Linear ODE with constant coefficients.

• (^) Characteristic equation
• (^) Find all roots (rational root test, synthetic division)
• (^) Check the table For 2nd^ order homo. linear ODE, if we know one solution, we can find the other independent solution by Reduction of Order. For 2 nd order linear ODE, if we can find the fundamental set, generally we can use Variation of Parameters

Example 2:

Example 2:

Example 3:

Example 3:

Example 4:

Example 4:

Some tips

• (^) Don’t leave it blank
• (^) This chapter involves many basic skills, such as integral, derivative, solving linear system, synthetic divi If you don’t familiarize with these things, still write it down what you try to do.

Reminder:

HW6 is posted!