Help in writing Maple code to transform differential equation with partial derivatives into ordinary differential equation

 I want to do the program to convert equation 6 to equation 8 or 7 to 8.

hi

 Calculate the attached equation with Maple

I want to set the EQ equations equal to zero and get the answers for a[0], a[1], b[1], c . How might I achieve this?

Hi
Can someone help me write the program for this equation?
I really need this program.
With respect