Question

(a) Find the general solution of the following second order linear differential equation given that y1 = t is known to be a solution:


(a) Find the general solution of the following second order linear differential equation given that y1 = t is known to be a solution: 

t2y" - (t2 + 2t) y' + (t + 2)y = 0, t> 0. 


(b) Find the particular solution given that y(1) = 7 and y'(1) = 4.

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