`(dy)/(dx)=(log x)^(2)`

The solution of the differential equaton (dy)/(dx)=(x log x^(2)+x)/(sin y+ycos y) , is

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

If x^y=e^(x-y), show that (dy)/(dx)=(logx)/({log(x e)}^2)

Solve the differential equation (dy)/(dx)=log(x+1)

The integrating factor of the differential equation (dy)/(dx)(x(log)_e x)+y=2(log)_e x is given by

The integrating factor of the differential equation (dy)/(dx)(x(log)_e x)+y=2(log)_e x is given by

The solution of the differential equation x(dy)/(dx)=y ln ((y^(2))/(x^(2))) is (where, c is an arbitrary constant)

If x^(y) y^(x)=5 , then show that (dy)/(dx)= -(log y + (y)/(x))/(log x + (x)/(y))

If y=(x-1)log(x-1)-(x+1)log(x+1), prove : (dy)/(dx)=log((x-1)/(1+x))

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