Physics, asked by maryamg78678652, 5 months ago

all the rows of pn(x)are ​

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Explanation:

The second order differential equation given as

The second order differential equation given as (1 − x2) d2y

The second order differential equation given as (1 − x2) d2y dx2 − 2x

The second order differential equation given as (1 − x2) d2y dx2 − 2x dy

The second order differential equation given as (1 − x2) d2y dx2 − 2x dy dx + n(n + 1) y = 0 n > 0, |x| < 1

The second order differential equation given as (1 − x2) d2y dx2 − 2x dy dx + n(n + 1) y = 0 n > 0, |x| < 1 is known as Legendre’s equation. The general solution to this equation is given as a function

The second order differential equation given as (1 − x2) d2y dx2 − 2x dy dx + n(n + 1) y = 0 n > 0, |x| < 1 is known as Legendre’s equation. The general solution to this equation is given as a function of two Legendre functions as follows

The second order differential equation given as (1 − x2) d2y dx2 − 2x dy dx + n(n + 1) y = 0 n > 0, |x| < 1 is known as Legendre’s equation. The general solution to this equation is given as a function of two Legendre functions as follows y = APn(x) + BQn(x) |x| < 1

The second order differential equation given as (1 − x2) d2y dx2 − 2x dy dx + n(n + 1) y = 0 n > 0, |x| < 1 is known as Legendre’s equation. The general solution to this equation is given as a function of two Legendre functions as follows y = APn(x) + BQn(x) |x| < 1 where

The second order differential equation given as (1 − x2) d2y dx2 − 2x dy dx + n(n + 1) y = 0 n > 0, |x| < 1 is known as Legendre’s equation. The general solution to this equation is given as a function of two Legendre functions as follows y = APn(x) + BQn(x) |x| < 1 where Pn(x) = 1

The second order differential equation given as (1 − x2) d2y dx2 − 2x dy dx + n(n + 1) y = 0 n > 0, |x| < 1 is known as Legendre’s equation. The general solution to this equation is given as a function of two Legendre functions as follows y = APn(x) + BQn(x) |x| < 1 where Pn(x) = 1 2nn!

The second order differential equation given as (1 − x2) d2y dx2 − 2x dy dx + n(n + 1) y = 0 n > 0, |x| < 1 is known as Legendre’s equation. The general solution to this equation is given as a function of two Legendre functions as follows y = APn(x) + BQn(x) |x| < 1 where Pn(x) = 1 2nn! dn

The second order differential equation given as (1 − x2) d2y dx2 − 2x dy dx + n(n + 1) y = 0 n > 0, |x| < 1 is known as Legendre’s equation. The general solution to this equation is given as a function of two Legendre functions as follows y = APn(x) + BQn(x) |x| < 1 where Pn(x) = 1 2nn! dn dxn (x2 − 1)n Legendre function of the first kind

The second order differential equation given as (1 − x2) d2y dx2 − 2x dy dx + n(n + 1) y = 0 n > 0, |x| < 1 is known as Legendre’s equation. The general solution to this equation is given as a function of two Legendre functions as follows y = APn(x) + BQn(x) |x| < 1 where Pn(x) = 1 2nn! dn dxn (x2 − 1)n Legendre function of the first kind Qn(x) = 1

The second order differential equation given as (1 − x2) d2y dx2 − 2x dy dx + n(n + 1) y = 0 n > 0, |x| < 1 is known as Legendre’s equation. The general solution to this equation is given as a function of two Legendre functions as follows y = APn(x) + BQn(x) |x| < 1 where Pn(x) = 1 2nn! dn dxn (x2 − 1)n Legendre function of the first kind Qn(x) = 1 2

The second order differential equation given as (1 − x2) d2y dx2 − 2x dy dx + n(n + 1) y = 0 n > 0, |x| < 1 is known as Legendre’s equation. The general solution to this equation is given as a function of two Legendre functions as follows y = APn(x) + BQn(x) |x| < 1 where Pn(x) = 1 2nn! dn dxn (x2 − 1)n Legendre function of the first kind Qn(x) = 1 2 Pn(x) ln 1 + x

The second order differential equation given as (1 − x2) d2y dx2 − 2x dy dx + n(n + 1) y = 0 n > 0, |x| < 1 is known as Legendre’s equation. The general solution to this equation is given as a function of two Legendre functions as follows y = APn(x) + BQn(x) |x| < 1 where Pn(x) = 1 2nn! dn dxn (x2 − 1)n Legendre function of the first kind Qn(x) = 1 2 Pn(x) ln 1 + x 1 − x

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