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Math · Advanced Math
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Use variation of parameters to find a particular solution, given the solutions y1, y2 of the complementary equation:

a) y'' + 4xy' + (4x2 + 2)y = 4e-x(x + 2); y1 = e-x^2 , y2 = xe-x^2

b) xy'' - (2x + 2)y' + (x + 2)y = 6x3ex; y1 = ex, y2 = x3ex

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