If `y=acos((log x)+bsin((log x)` , then find dy/dx

if y=(xsinx)/(log_(e)x), then find (dy)/(dx)

(i) If y=asin(log x) then prove that x^(2)*(d^2y)/(dx^2)+x(dy)/(dx)+y=0 . (ii) If y=acos(log_(e)x)+bsin(log_(e)x) , then prove that x^2*(d^2y)/(dx^2)+x*dy/dx+y=0 .

If y=acos(logx)+bsin(logx), prove that x^2(d^2y)/(dx^2)+\ x(dy)/(dx)+y=0

1.If y = (log x)3 then dy/dx=

If y=Acos(logx)+\ Bsin(logx) , prove that x^2\ (d^2y)/(dx^2)+x(dy)/(dx)+y=0 .

If y=(log_ex)/(x)+e^(x)sinx+log_(5)x then find (dy)/(dx) .

If y= e^(x) log tan 2x , than find (dy)/(dx)

Show that y=a cos(log x)+b sin(log x) is a solution of the differential equation x^2(d^2y)/(dx^2)+x(dy)/(dx)+y=0

If y=sqrt(log{sin((x^2)/3-1)}) , t h e n find (dy)/(dx)dot

If y=(log)_a x , find (dy)/(dx) .