If `y=sqrt((1-x)/(1+x)),p rov et h a t(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)),quad prove that ((1-x^(2))dy)/(dx)+y=0

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

If y=sqrt((1-x)/(1+x)) , then (1-x^(2))(dy)/(dx)+y is equal to

Ify,=sqrt(((1+cos x)/(2))), provethat (dy)/(dx)=-(1)/(2)(sin x)/(2) If y,=sqrt((1+sin x)/(1-sin x)), prove that cos x(dy)/(dx)=y

If y=sqrt(1+sqrt(1+x^(4))), prove that y(y^(2)-1)(dy)/(dx)=x^(3)

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

If y=log[x+sqrt((1+x^(2)))], prove that sqrt((1+x^(2)))(dy)/(dx)=1

y sqrt(1-x^(2))+x sqrt(1-y^(2))=1,prov et h a t (dy)/(dx)=sqrt((1-y^(2))/(1-x^(2)))

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