Home
Class 12
MATHS
[" Example "8." If "y^(1/m)+y^(-1/m)=2x,...

[" Example "8." If "y^(1/m)+y^(-1/m)=2x," then prove that "],[qquad (x^(2)-1)y_(n+2)+(2n+1)x*y_(n+1)+(n^(2)-m^(2))y_(n)=0]

Promotional Banner

Similar Questions

Explore conceptually related problems

If 2x=y^(1/m)+y^(-1/m) , then prove that (x^2-1)y_(n+2)+(2n+1)xy_(n+1)+(n^2-m^2)y_n=0 .

If 2x= y^((1)/(m)) + y^(-(1)/(m)) (n ge 1) then prove that, (x^(2)-1) y_(2) + xy_(1) = m^(2)y

If y=e^(a sin^(-1)x) then show that (1-x^(2))y_(n+2)-(2n+1)xy_(n+1)-(n^(2)+a^(2))y_(n)=0

If y^((1)/(n))+y^(-(1)/(n))=2x then (x^(2)-1)y_(2)+xy_(1) is equal to

If x^(m)y^(n)=(x+y)^(m+n), prove that (d^(2)y)/(dx^(2))=0

If x^(m)y^(n)=(x+y)^(m+n), prove that (d^(2)y)/(dx^(2))=0

If x^(m)y^(n)=(x+y)^(m+n), prove that (d^(2)y)/(dx^(2))=0

If x^(m)y^(n)=(x+y)^(m+n) , prove that : (d^(2)y)/(dx^(2))=0 .

(x^(2^(n-1))+y^(2^(n-1)))(x^(2^(n-1))-y^(2^(n-1)))=

If cos^(-1)((y)/(b))=log((x)/(n))^(n) , prove that, x^(2)y_(2)+xy_(1)+n^(2)y=0 .