[" If "y=e^(m cos^(-1)x)" ,prove that : "],[(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=m^(2)y]

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If y=e^("mcos"^(-1)x) , prove that: (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=m^(2)y

If y=e^(m sin^(-1)x) prove that (1-x^(2))((d^(2)y)/(dx^(2)))-x(dy)/(dx)=m^(2)y

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