Question: Please help! (3) Consider the second order differential equation x y - 3xy' + 5y = 0, x> 0. (a) Check that y(x) = C1x2

Please help!

(3) Consider the second order differential equation x y" - 3xy' + 5y = 0, x> 0. (a) Check that y(x) = C1x2 cos(log(z)) + C212 sin(log(z)) is a solution to this differential equation for every constant C, and C2. (b) Use (a) to solve the IVP 1 21" - 3xy' + 5y = 0, I > 0, y(1) = 1. y' (1) = - 2

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