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Caroline Smith MAE 301 - Class Notes for Wednesday 12/8/10 The
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The Cover-Up Method

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x - ckw

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33-759 Introduction to Mathematical Physics Fall Semester, 2005 Assignment No. 13

... d) Find the general solution to the inhomogeneous equation when g1 (x) = x, g2 (x) = −x by guessing a particular solution of the form y = r + xs, solving appropriate equations for the constant vectors r and s, and then using this as part of the general solution. e) Find a particular solution to the ...
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System of polynomial equations

A system of polynomial equations is a set of simultaneous equations f1 = 0, ..., fh = 0 where the fi are polynomials in several variables, say x1, ..., xn, over some field k.Usually, the field k is either the field of rational numbers or a finite field, although most of the theory applies to any field.A solution is a set of the values for the xi which make all of the equations true and which belong to some algebraically closed field extension K of k. When k is the field of rational numbers, K is the field of complex numbers.
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