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

" 1(a) If "y=e^(a sin^(-1)x)" ,show that "(1-x^(2))y_(2)-xy_(1)-a^(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=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=e^(a sin^(-1)x) then show that (1-x^(2))y_(n+2)-(2n+1)xy_(n+1)-(n^(2)+a^(2))y_(n)=0

If y=e^(m sin^(-1)x) then prove that (1-x^2) y_2 - xy_1 = m^2 y

If e^y(x+1)=1, show that (d^(2y))/(dx^2)=((dy)/(dx))^2 If y=sin(2sin^(-1)x), show that ((1-x^2)d^(2y))/(dx^2)=x(dy)/(dx)-4y

If e^(y)(x+1)=1, show that (d^(2)y)/(dx^(2))=((dy)/(dx))^(2) If y=sin(2sin^(-1)x), show that ((1-x^(2))d^(2y))/(dx^(2))=x(dy)/(dx)-4y

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