Thread: help finding the second solution

Use reduction of order to find the second solution of the differential equation. Note: Y1 is the first solution.

x y'' + y' = 0; Y1= lnx


I know the answer is Y2= 1 but i wonder how they got this, could someone explain me....Please!!!

Thank you

Originally Posted by kithy

Use reduction of order to find the second solution of the differential equation. Note: Y1 is the first solution.

x y'' + y' = 0; Y1= lnx


I know the answer is Y2= 1 but i wonder how they got this, could someone explain me....Please!!!

Thank you

The solution proceeds the same way as in this thread.



Sub this into your differential equation and you will get an equation in the form

which you can do a reduction of order on.

If you are still having troubles after this hint, perhaps you should show us your work so we can better see where you need help.

-Dan