(iii)x^(x)+y^(x)=1

If (x^(x)+y^(x))=1," show that "(dy)/(dx)=-{(x^(x)(1+logx)+y^(x)(logy))/(xy^(x-1))}

If x^(x)+y^(x)=1, prove that (dy)/(dx)=-{(x^(x)(1+log x)+y^(x)log y)/(xy^((x-1)))}

If x^(y)=y^(x) show that (x/y)^(x/y)=x^((x)/(y)-1) if further x=2y then prove that y=2

If graph of y=(x-1)(x-2) is then draw the graph of the following (i) y=|(x-1)(x-2)| (ii) |y|=(x-1)(x-2) (iii) y=(|x|-1)(|x|-2) (iv) |(|x|-1)(|x|-2)| (v) |y|=|(|x|-1)(|x|-2)|

The general solution of the differential equation (dy)/(dx) +x (x+y)=x (x+y) ^(3)-1 is:

The general solution of the differential equation (dy)/(dx) +x (x+y)=x (x+y) ^(3)-1 is:

If log x+log y=log(x+y), then a.x=ybxy=1 c.y=(x-1)/(x) d.y=(x)/(x-1)

value of x^(3)-y^(3) if (x)/(y)+(y)/(x)=-1,(x,y!=0)

If (x)/(y)+(y)/(x)=-1,[x,y!=0], then find the value of x^(3)-y^(3)