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Consider the equation
x2y′′+ xy′- y = 4x ln x
(a) Verify that x is a solution to the homogeneous equation.
(b) Use the method of reduction of order to derive the second solution to the homogeneous equation as Cx-1
(c) Use the method of variation of parameters to show that the general solution of the equation can be written as
y = x(ln x)2- x ln x + c1x + c2x-1
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Integrate following. ∫ -2 2 4x 4 - x 2 + 1dx Solution In this case the integrand is even & the interval is accurate so, ∫ -2 2 4x 4 - x 2 + 1dx = 2∫ o
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The area of Mr. Smith's rectangular classroom is x 2 - 25. Which of the following binomials could represent the length and the width of the room? Since area of a rectangle is
approximate the following problem as a mixed integer program. maximize z=e-x1+x1+(x2+1)2 subject to x12+x2 =0
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