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" (ii) If "y=sin(m sin^(-1)x)" ,show tha...

" (ii) If "y=sin(m sin^(-1)x)" ,show that "

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If y=sin(2sin^(-1)x) , show that: (dy)/(dx)=2sqrt((1-y^(2))/(1-x^(2))) .

If y=cos(m sin^(-1)x), show that (1-x^(2))y_(2)-xy_(1)+m^(2)y=0

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

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

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=sin(m sin^-1x) . Show that sqrt(1-x^2)dy/dx=mcos(msin^-1x)

If y = sin (m sin^(-1) x), prove that (1 - x^2)y_2 -xy_1 + m^2 y = 0

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

If y=sin(m sin^(-1)x) , what is the value of d^(2)y//dx^(2) at x = 0?