<span>x y z are in geometric
x/y = y/z
OR y^2=xz
x^2, y^2, z^2
x^2, xz, z^2
If they are in geometric sequence then
xz/x^2 = z^2/xz
z/x = z/x
The ratios are common
so x^2,y^2 & z^2 is a GP.</span>
Answer:
44=y
Step-by-step explanation:
27+x=y
We know x = 17, so we can substitute x=17 into the equation
27 + 17 = y
44=y
Standard reduction of order procedure: suppose there is a second solution of the form

, which has derivatives



Substitute these terms into the ODE:



and replacing

, we have an ODE linear in

:

Divide both sides by

, giving

and noting that the left hand side is a derivative of a product, namely
![\dfrac{\mathrm d}{\mathrm dx}[wx]=0](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Bwx%5D%3D0)
we can then integrate both sides to obtain


Solve for

:


Now

where the second term is already accounted for by

, which means

, and the above is the general solution for the ODE.