prove that (x^2-1)yn 2 2xyn 1 - n(n 1)yn =0 If y=(x2-1)n

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If y= (x²-1)ⁿ, then prove that (x²-1)yn+2 +2xyn+1 -n(n+1)yn= 0 | Leibnitz Theorem

0:15:46

If y=(x^2-1)^n ,prove that (x^2-1)yn+2 +2xyn+1 - n(n+1)yn =0 Hence if Pn = d^n/dx^n {(1-x^2)dPn/dx..

0:12:55

If y^1/m + y^-1/m = 2x, prove that (x^2-1)yn+2 +(2n+1)yn+1 +(n^2-m^2)yn =0| Leibnitz Theorem| #26

0:23:30

If y=(x^2-1)^n, show that (x^2-1)yn+1+2xyn+1-n(n+1)yn=0.Hence if P(x=1/2^n.n!d^n/dx^n{(x^2-1)^n}),sh

0:17:09

If y^1/m +y^-1/m = 2x, prove that (x²-1)yn+2+ (2n+1)xyn+1+(n²-m²)yn= 0 | Leibnitz Theorem

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If y= [x+√(1+x²)]^m. Prove that (x²+1)yn+2 + (2n+1)xyn+1+ (n²-m²)yn= 0

0:24:39

If y= e^asin^-1x , prove that (1-x²)yn+2-(2n+1)xyn+1-(n²+a²)yn= 0. Hence find yn at x= 0

0:24:58

If y^1/m +y^-1/m = 2x prove that (x^2 -1)yn+2 +(2n+1)xyn+1 +(n^2-m^2)yn =0 | Bsc | Engineering math

0:00:16

If y^1/m+y^-1/m=2x Prove that (x²-1)Yn+2 + (2n+1)xYn+1 + (n²-m²)Yn=0 & differential calculas formula

0:08:46

If y=e^tan^-1(x),prove that (1+x^2)Yn+2+(2(n+1)x-1)Yn+1 + n(n+1)Yn=0{based on Leibnitz Theorem}

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Successive differentiation || Find nth derivative by using Leibnitz's Theorem y=sin(m sin^(-1)(x))

0:19:54

If y = e^sin-1 x, prove that (1-x^2)yn+2 - (2n+1)yn+1 - (m^2+n^2)yn=0. Hence find yn for x=0 || #24

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x=tan(logy) ⁉️ differentiate n times and prove that ||leibnitz theorem problem|| important question

0:09:56

If y= acos(logx) +bsin(logx) show that x^2y2 +xy1 +y=0 and x^2(yn+2) +(2n+1)xy(n+1)+(n^2+1)yn=0

0:07:37

If y= e^tan-1 x prove that (1+x^2)yn+2 +[(n+1)x-1]yn+1 +n(n+1) yn =0 | Successive differentiation

0:10:59

If y = e^asin⁻¹x , than prove that (1 - x^2)yn+2 - (2n+1)xyn+1 -(n^2+a^2)yn

0:11:51

If y= cos(msin^-1x), show that (1-x²)yn+2 -(2n+1)x yn+1 -(n²-m²)yn= 0

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Solve Examples on Successive Differentiation by using Leibnitz's Theorem Lecture no. 6

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If `y=x^2 e^x`, show that `y_n=1/2n(n-1)y_2-n(n-2)y_1+1/2(n-1)(n-2)y`

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If y= (x+√1+x^2)^m, Prove that (1+x^2)yn+2 +(2n+1)xyn+1 + n^2yn=0|| Leibnitz Theorem problems| #22

0:11:26

If cos^-1(y/b) = n log(x/n), prove that x^2yn+2 + (2n+1)xyn+1 + 2n^2yn =0 | Leibnitz Theorem | #21

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If cos^-1 (y/b) = log(x/n)^n , prove that x^2 yn+2 +(2n+1)xyn+1 +2n^2yn =0 | Successive| Bsc | maths

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if y^1/m+ y^-1/m=2x prove that (x^2-1)y_n+2+(2n+1)xy_n+1+(n^2-m^2)y_n=0| Successive Differentiation