Question: Question 2 - [ 5 p t s ] . Consider the following differential equation: t 2 ( l n t ) 2 y '

Question 2-[5pts]. Consider the following differential equation:
t2(lnt)2y''(t)+tlnt(lnt-3)y'(t)+5y(t)=0,t>1.
(i) Use the substitution z(x)=y(ex)to show that z solves the Cauchy-Euler equation:
x2z''(x)-3xz'(x)+5z(x)=0**
Question 2 - [ 5 p t s ] . Consider the following

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