2. Reduction of Order This question has three parts Given that the function y(x) = 1/2 is a solution to the differential

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2 Reduction Of Order This Question Has Three Parts Given That The Function Y X 1 2 Is A Solution To The Differential 1 (19.47 KiB) Viewed 30 times

2. Reduction of Order This question has three parts Given that the function y(x) = 1/2 is a solution to the differential equation: ry" + 3xy + y = 0 (1) (a) Re-write the differential equation in the standard form y" + P(x) + Q(x)y=0 What are P(z) and Q(z)? (b) Find a second solution (2) by computing the following. v(x) = y(x) [² - P(x)dz (y(x))² (c) Verify the solution you found is a solution to the differential equation by showing it satisfies (1).