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I have posted a link there to this thread so the OP can view my work.There are three linearly independent solutions of the differential equation?

There are three linearly independent solutions of the differential equation t^3y'''+3t^2y''-6ty'+6y=0 of the form t^p. Find the possible values of p.

a. 1,2,3

b. 1,2,-3

c. 1,-2,3

d.1,-2,-3

e. -1,2,3

f. -1,2,-3

g. -1,-2,3

h. -1,-2,-3