Question: Show that (6) with n = 0 gives P 0 (x) = 1 and (7) gives (use ln (1 + x) = x - 1/2x

Show that (6) with n = 0 gives P0(x) = 1 and (7) gives (use ln (1 + x) = x - 1/2x2 + 1/3x3 + ....)

32(x)=x+ 228 +20+ x+ = In 1+x 1-x

Verify this by solving (1) with n = 0, setting z = y' and separating variables.

32(x)=x+ 228 +20+ x+ = In 1+x 1-x

Step by Step Solution

3.39 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

From equation 6 when n 0 the Legendre Poly... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Advanced Engineering Mathematics Questions!