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[" 38.If "y=e^(m sin^(-1)x)" ,then show ...

[" 38.If "y=e^(m sin^(-1)x)" ,then show that "],[qquad (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-m^(2)y=0]

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

If y=e^(a cos^(-1)x),-1<=x<=1 then show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-a^(2)y=0

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

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If y=sin(mcos^(-1)x),"show that "(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)+m^(2)y=0

If y= e^(a cos^(-1)x), -1 le x le 1 , show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-a^(2)y=0 .

If y= e^(a cos^(-1)x), -1 le x le 1 , show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-a^(2)y=0 .