(dz)/(dx)+(2)/(x)log z=(z(log z)^(2))/(x^(2))

Which of the following transformations reduce the differential equation (dz)/(dx)+(z)/(x)log z=(z)/(x^(2))(log z)^(2) into the form (dv)/(dx)+P(x)v=Q(x)

Which of the following transformations reduce the differential equation (dz)/(dx)+z/x log z=z/x^2 (log z)^2 into the form (dv)/(dx)+P(x)v=Q(x)

If (log x)/(y-z) = (log y)/(z-x) = (log z)/(x-y) , then prove that xyz = 1 .

If 2z=x(2+(dz)/(dx)) , then prove that (d^(2)z)/(dx^(2)) is a constant.

If log x(log x)/(a^(2)+ab+b^(2))=(log y)/(b^(2)+bc+c^(2))=(log z)/(c^(2)+ca+a^(2)) then x^(a-b)*y^(b-c)*z^(c-a)=

Suppose x,y,z=0 and are not equal to 1 and log x+log y+log z=0. Find the value of (1)/(x^(log y))+(1)/(log z)quad (1)/(y^(log z))+(1)/(log x)quad (1)/(z^(log x))+(1)/(log y)

The value of the determinant ,log_(a)((x)/(y)),log_(a)((y)/(z)),log_(a)((z)/(x))log_(b)((y)/(z)),log_(b)((z)/(x)),log_(b)((x)/(y))log_(c)((z)/(x)),log_(c)((x)/(y)),log_(c)((y)/(z))]|