Question

Calculus help.(Differentiation)

Answer 1

If \(\LARGE y^{\frac{1}{m}} + y^{\frac{-1}{m}} = 2x\),Then show that :
\[\LARGE x^2 y_{n+2}+(2n+1)x y_{n+1}+(n^2-m^2)y=0\]

Answer 2

On Differentiating I get something like this.\[\Large \frac{y^{\frac{1}{m}}}{my}y_1 - \frac{y^{\frac{-1}{m}}}{my}y_1 = 2\]

Answer 3

@rational

Answer 4

http://math.stackexchange.com/questions/906642/if-y-frac1m-y-frac-1m-2x-show-that-x2y-n22n1xy-n1

Answer 5

you are rsadhvika? o.O

Answer 6

yes haha! familiar with leibniz rule ? its similar to binomial theorem for derivatives

Answer 7

I remember that username,you have helped me a lot in the past :P yep I'm familiar but I'm thinking over one step.

Answer 8

the 2nd line

Answer 9

okay I get it

Answer 10

that was awesome! thanks