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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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How to Simplifying Square Roots ? To simplify square roots, 1. Factor the radicand into primes. 2. Circle each pair of like numbers. 3. For each pair of like numbers, place
how do you write this polynomial in standerd form 5x3 + x5 - 8 + 4x ?
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