(a) Show that x = 0 is a regular singular point of the given differential equation....

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(a) Show that x = 0 is a regular singular point of the given differential equation. %3D Po = lim xp(x) = 40 = limxq(x) = eTextbook and Media (b) Find the first three nonzero terms in each of the two solutions (not multiples of each other) aboutx = 0. 3 7. y() = x+ + + . 15 y2(x) = 3y, (x)lnx + 1- +.. 4 3 , 9 y, (x) = x+ +r + . 18 y,x) = 5y, (o)lnx + 1--+. %3D 3. y, (x) = x+ + +.. 15 y,0) = 3y, Co)lnx + 1-- +... (a) Show that x = 0 is a regular singular point of the given differential equation. %3D Po = lim xp(x) = 40 = limxq(x) = eTextbook and Media (b) Find the first three nonzero terms in each of the two solutions (not multiples of each other) aboutx = 0. 3 7. y() = x+ + + . 15 y2(x) = 3y, (x)lnx + 1- +.. 4 3 , 9 y, (x) = x+ +r + . 18 y,x) = 5y, (o)lnx + 1--+. %3D 3. y, (x) = x+ + +.. 15 y,0) = 3y, Co)lnx + 1-- +...