Just problems 2 and 6Exercises 3.6.1. Match each Cauchy-Euler equation below to the graph of its solution (in Figures A-C). You should be able todo this just by determining the roots ofthe characteristic polynomial and looking at the behavior of the solution, either astorast0. The initial conditions in each case are x(1)=1,x'(1)=0.(i)t2xn+5tx'+3x=0(ii)t2x''+tx'+9x=0(iii)t2x''-3tx'+3x=0For the following Cauchy-Euler equations, find two solutions of the homogeneous equa-tion and then use variation of parameters to find xp. Before solving for xp you need todivide the equation byt2to have the correct forcing function f(t).t2x''-2tx'+2x=3tt2xn-2x=2tt2x''+14x=t52Solve the initial-value problems 5-7 and sketch your solution onxn-2tx'+2t2x=3t,x(1)=1,x'(1)=0xn-2t2x=2t',x(1)=0,x'(1)=10.xn-2tx'+2t2x=3t,x(1)=1,x'(1)=0xn-2t2x=2t',x(1)=0,x'(1)=1