The equation (1- t 2)y"- 2ty' + a(a + l)y = 0, a constant, is known as the legendre differential equation, and it appears in many areas of mathematics and physics. (a) find 2 linearly independent solutions of the legendre equation. (b) show that the legendre differential equation has a polynomial solution of degree n if a = n. (c) the legendre polynomial pn(t) is defined as the polynomial solution of the legendre equation with a = n which satisfies the condition pn(l) = 1. find p0(t), p1(t), pz(t), and p3(t).

the answer is d

step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

i think the answer is b.

step-by-step explanation:

not 100% sure though.

df =

both have same length