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  1. OR True The UCJIS Help Desk watches for those kind of YQ's and we will send and AM or call the agency to ask that they resend the YQ and type out the ORI instead of using copy an.

  2. A First Order Linear Di erential Equation is a rst order di erential equation which can be put in the form dy + P (x)y = Q(x) dx where P (x); Q(x) are continuous functions of x on a given interval. …

  3. We can solve these differential equations using the technique of an integrating factor. I = eR P dx. IP y by the product rule. As both I and Q are functions involving only x in most of the problems …

  4. Example 2 Consider the second order linear initial value problem p ( t ) y q ( t ) y 0, 0 0, y 0 0 where p, q are continuous on an open interval I containing t0. In light of the initial conditions, …

  5. Elimination of an equation y′ = f(x, y) from the class of linear equations can be done from necessary conditions. The equality fy(x, y) = fy(x, 0) implies two such conditions: If fy(x, y) …

  6. The general form of a Bernoulli equation is dy + P(x)y = Q(x) yn , dx where P and Q are functions of x, and n is a constant. Show that the transformation to a new dependent variable z = y1−n …

  7. Crystallographers use diffraction of some form of radiation (light, electron, x-ray, neutron,...) to obtain information on the periodic arrangement of atoms in space. The wavelength of the …