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[" LONG TYPE QUESTIOINS(IO IVITIN "],[" Answer Any Two Questions."],[" 1..If "y=(sin^(-1)x)/(sqrt(1-x^(2)))" then "],[qquad " show that "(1-x^(2))(d^(2)y)/(dx^(2))-3x(dy)/(dx)-y]

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If y=(sin^(-1)x)/(sqrt(1-x^(2))) , the prove that (1-x^(2))(d^(2)y)/(dx^(2))-3x(dy)/(dx)-y=0 .

If y=(sin^(-1)x)/(sqrt(1-x^(2))), show that (1-x^(2))(d^(2)y)/(dx^(2))-3x(dy)/(dx)-y=0

If y=(sin^(-1)x)/(sqrt(1-x^(2))), show that (1-x^(2))(d^(2)y)/(dx^(2))-3x(dy)/(dx)-y=0

If y=log(x+sqrt(1+x^(2))), then show that (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)=0

If y=sin^(-1)x show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=0

If y=sin^(-1)x, then show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=0

If y=sin^(-1) x, then show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=0

If y=(sin^(-1) x)/(sqrt(1-x^2)) , then show that (1-x^2)(d^2y)/(dx^2)-3x(dy)/(dx)-y=0 .

If y=(x sin^(-1)x)/(sqrt(1-x^(2)))+log sqrt(1-x^(2)) , show that, (1-x^(2))^(2)(D^(2)y)/(dx^(2))-3x(1-x^(2)))(dy)/(dx)=1