StudyGuide1

# StudyGuide1 - MATH 2271 Dierential Equations for Scientists...

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MATH 2271 Differential Equations for Scientists and Engineers Winter 2009 April 13, 2009 Midterm 2 Study Guide Here is a list of topics on which Midterm 2 will be based, with the associated part of the text indicated. General perspective on first order ODEs 1. Fundamental Theorem on existence and uniqueness of solutions for 1st order ODEs (Section 2.8) 2. direction fields (Section 1.1) 3. Euler’s method (Section 2.7) The general theory of linear, second order ODEs 1. the Fundamental Theorem on existence and uniqueness of solutions for linear 2nd order ODEs (Section 3.2) 2. homogeneous equations; fundamental solutions; linear independence; the Wron- skian (Section 3.2) 3. inhomogeneous equations; the form of the general solution (Section 3.6) 4. the method of undetermined coefficients (Section 3.6) 5. the method of variation of parameters (Section 3.7)
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• Winter '14
• Equations, Elementary algebra, order ODEs

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