If `y=(xsin^(-1)x)/(sqrt(1-x^2)),` prove that `(1-x^2)(dy)/(dx)=x+y/xdot`

If y=(xsin^(-1)x)/(sqrt(1-x^2)),"p r o v et h a t"(1-x^2)(dy)/(dx)=x+y/xdot

if y= (sin ^(-1)x)/(sqrt(1-x^2)) then prove that (1-x)^2) .d/dx=xy+1

If y=x\ sin^(-1)x+sqrt(1-x^2) , prove that (dy)/(dx)=sin^(-1)x

If y=xsin^(-1)x+sqrt(1-x^2), p rov et h a t(dy)/(dx)=sin^(-1)x

If y=sqrt((1-x)/(1+x)), prove that (1-x^2)dy/(dx)+y=0

If y=sqrt((1-x)/(1+x)) prove that (1-x^2)(dy)/(dx)+y=0

If y=sqrt((1-x)/(1+x)), prove that ((1-x^2)dy)/(dx)+y=0

If y=(xcos^(-1)x)/(sqrt(1-x^2))-logsqrt(1-x^2), then prove that (dy)/(dx)=(cos^(-1)x)/((1-x^2)^(3/2))

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

If y= "tan"^(-1) (2x)/(1-x^(2)) , prove that (dy)/(dx)= (2)/(1 + x^(2))