prove that (x^2-1)yn 2 2xyn 1 - n(n 1)yn =0 Successive differentiation Nitin Kumar Gupta Classes

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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..

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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

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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

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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

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If y= cos( logx) prove that x^2yn+2 +(2n+1)xyn+1 +(n^2+1) yn =0 | Successive differentiation

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If y= x^2 e^x show that yn= 1/2 n(n-1)y2 -n(n-2)y1 +1/2(n-1)(n-2) | nth derivative of x^2 e^x

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If y= [log{x+√(1+x^2)}]^2 prove that (1+x^2)yn+2 +(2n+1)xyn+1 n^2yn =0 | Successive differentiation

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If y= (sin^-1 x)^2 ,prove that (1-x^2)y2 -xy1 -2=0 || successive differentiation

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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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Leibnitz rule for nth derivative |leibnitz theorem || leibnitz theorem engineering mathematics

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If y = e^acos^-1x prove that (1-x^2)yn+2 -(2n+1)xyn+1 -(n^2+a^2)yn=0 Hencefindthe value of yn forx=0

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If x= sin(1/a log y ) or if y=e^a{sin}^-1 x, show that (1-x^2)yn+2-(2n+1)xyn+1-(n^2+a^2)yn=0 math

0:09:25

If y=[x+√(1+x^2)]^m , prove that (1+x^2)y2 +xy1-m^2y=0 and (1+x^2)yn+2 +(2n+1)xyn+1+(n^2-m^2)yn=0

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If x+y=1 prove that d^n(x^n y^n)/dx^n=n!{y^n-(nC1)^2y^n-1x

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If In = d^n/dx^n (x^nlogx ), prove that In = nIn-1 + (n-1)! successive differentiation | maths

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Find(yn)0 ,when y=log [x+√(1+x^2)] | Successive differentiation | B.Sc. sem 1 maths

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If y= x/(x^2 + a^2), prove that yn = (-1)^n n! ..|Nth derivative of x/x^2 +a^2

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If y= [x+√(1+x^2)]^m find the value of the nth differential coefficient of y for x= 0

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By forming in two different ways the nth derivative of x^2n, prove that 1 + n^2 +n^2(n-1)^2 ......

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Prove that the value of the nth differential coefficientofx^3/(x^2-1) |Nth derivative of x^3/(x^2-1)

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If y = x^n logx ,prove that xy(n+1) =n ! | Nth derivative of x^nlogx

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If y = sin(msin^-1x) , find(yn)0 | maths | Successive differentiation | B.Sc. sem 1

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If y=sinmx + cosmx prove that yn=m^n [1+(-1)^n sin2mx ]^1/2 | Nth derivative of sinmx + cosmx

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Prove that d^n/dx^n (logx/x) =(-1)^n(n!)/x^n+1 | Nth derivative of log x/x