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.
Answer:
20% off 45.00 is 36.00
Step-by-step explanation:
The difference is $9.00
I believe 67 is the correct answer
Answer:
-42.667 or -128/3
Step-by-step explanation:
1 ( -64) 2/3
-64. 2/3
(-64.2)/3
-128/3