function y1(x)

In Problems 17 –20 the indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y2(x) of the homogeneous equation and a particular solution of the given non homogeneous equation.
17. y” – 4y = 2; y1 = e–2x
18. y” + y’ = 1; y1 = 1
19. y” – 3y’ + 2y = 5e3x; y1 = ex

20. y” – 4y’ + 3y = x; y1 = ex

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