week5 - page 181. This method will have important analogues...

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Week 7 Material to be covered: 3.6 3.7 Homework to be handed in Oct 5 Sec. 3.6: 5, 7, 10 Sec. 3.7: 6, 7, 8 Sec. 2.3: 4 Find the general solution of y 0 = ( y 2 + 16) / ( t 2 - 25) Prepare a playbook entry for the method of variation of parameters, and another for vibrations, but do not hand them in. We are now doing some applied problems. Involving Mechanics and electricity. This is not a course in mechanics or electricity so that the amount of Physics we will require is minimal: Newton’s Laws, Hook’s law for springs, damping law. Ohm’s law, Capacitors, Henry’s law, conservation of charge. In all applied problems, units are important. The first line in a problem should always be identifying the variables and the units you are using. We will have a voluntary session on how to get started using computers to study differential equations in CPE 2.208 Oct. 4. 5:00-7:00pm. The method of undertermined coefficients is formulated concisely in Table 3.5.1 in
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Unformatted text preview: page 181. This method will have important analogues for higher order equations. (Section 4.3) This will be covered in detail in class later. Some of you may find it convenient to read the explanations in Section 4.3 now. Note that the book gives another variant of the undetermined coefficients method which we will not cover in class. The method of variation of parameters can also be generalized to higher order equa-tions (Section 4.4) but it will not be covered in class. Several people have suggested (thank you!) that it would be a good idea to assign review problems. This is to keep in mind that the material depends on the previous one. The material of the course is like a pile! . Make sure that you can review all the methods previously discussed and that you indeed do review them. 1...
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This note was uploaded on 02/01/2011 for the course MATH 427K taught by Professor Delallave during the Spring '11 term at University of Texas.

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