If `y=(sinh^(-1)x)/(sqrt(1+x^(2)))` then `(1+x^(2))y_(2)+3xy_(1)=`

If y^(1/m)= x + sqrt (1 + x^(2)) "then" (1 + x^(2))y_(2)+ xy _(1) = ?

If y=(sin^(-1)x)/(sqrt(1-x^(2))), then ((1-x^(2))dy)/(dx) is equal to x+y (b) 1+xy1-xy(d)xy-2

If y=x+sqrt(x^(2)-1)," then "(x^(2)-1)y_(2)+xy_(1)=

if y=(sin^(-1)x)/(sqrt(1-x^(2))), prove that (1-x^(2))(dy)/(dx)=xy+1

"If "y^(1//m)=(x+sqrt(1+x^(2)))," then "(1+x^(2))y_(2)+xy_(1) is (where y_(r) represents the rth derivative of y w.r.t. x)

If y=(cos^(-1)x)^(2) , then prove that : (1-x^(2))y_(2)-xy_(1)-2=0 .

If quad y=(sin^(-1)x)^(2), prove that (1-x^(2))y_(2)-xy_(1)-2=0

If y=(sin^(-1)x)^(2), prove that (1-x^(2))y_(2)-xy_(1)-2=0

if y= (sin ^(-1)x)/(sqrt(1-x^2)) then prove that (1-x)^2) .d/dx=xy+1