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3 Consider the ordinary differential equation: ty +3tyy 0. e) (2 points) Find the Wronskian Wly,...

3 Consider the ordinary differential equation: ty +3tyy 0.e) (2 points) Find the Wronskian Wly, yal(t). f) (2 points) Calculate e I podt and compare it to Wl vlt). What do you observeİ) (4 points) Solve the initial value problem t2yt3ty+y = 0, t > 0 with y(1) = 0 and y(1-1. j) (2 points) Describe the beha

3 Consider the ordinary differential equation: ty +3tyy 0.
e) (2 points) Find the Wronskian Wly, yal(t). f) (2 points) Calculate e I podt and compare it to Wl vlt). What do you observe? Does y1(t) = t-1 and y2(t) = t-11nt represent a fundamental set of solutions? g) (2 points) Why? h) (2 points) Find the general solution of ty" +3ty'y 0
İ) (4 points) Solve the initial value problem t2y't3ty'+y = 0, t > 0 with y(1) = 0 and y(1-1. j) (2 points) Describe the behavior of the solution from i) as t 00.
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