" (ii) "x(dy)/(dx)+3y=(log x)/(x^(3))

(i) x(dy)/(dx)+y=log x

Solve the differential equation : x(dy)/(dx)+3y=(log x)/(x^(3))

Find (dy)/(dx) , if y =(log x)^(x) + (x)^(log x)

If y=x log((x)/(a+bx)), thenx ^(3)(d^(2)y)/(dx^(2))= (a) x(dy)/(dx)-y (b) (x(dy)/(dx)-y)^(2)y(dy)/(dx)-x(d)(y(dy)/(dx)-x)^(2)

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

x log x(dy)/(dx) + y = (2)/(x)log x