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Unformatted text preview: Section 1.2, 1.3, cont’d, Sec 2.22.3 Jan 22, 2009 Lecture 03 Today For quick access to the syllabus and links to software we are using visit http://math.arizona.edu/ ∼ hermi/spring09/ To integrate, if you do not have an integral table, visit http://integrals.wolfram.com/ Please register and access WebAssign–Class Key: arizona 9835 7019 Clickers (Register your clickers via D2L, by Jan 27) Lecture 03 Remember: WebAssign homework is already online, start working on it. The “Review Test” is Jan 27 (so practice the review problems in D2L) The distribution of the questions for the “Review Test” is as follows: 2 derivatives, 2 integrals, 2 Taylor series, and 2 complex numbers questions. Lecture 03 Linear Differential Equations A differential equation is said to be linear if the following holds: If y 1 and y 2 are solutions, then c 1 y 1 + c 2 y 2 is also a solution, for every real numbers c 1 and c 2 . This means two things: A multiple of a solution is also a solution The sum of two solutions is also a solution Example 1: (a) Explain why the following equation is linear: y ′′ y ′ 2 y = 0 Lecture 03 Example 1, cont’d Suppose y 1...
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This note was uploaded on 04/07/2009 for the course MATH taught by Professor Lotfi during the Spring '09 term at Arizona.
 Spring '09
 Lotfi
 Math, Differential Equations, Equations

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