1. 7,028 2. 7,208 3. 7,288 4. 7,828 5. 7,088 6. 2,570 7. 2,507 8. 2,577 9. 2,057 10. 2,077 11. 9,009 12. 9,900 13. 9,090 14. 9,099 15. 9,999
There is normally a shape or something to these problems
By letting

we get derivatives


a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to

Examine the lowest degree term
, which gives rise to the indicial equation,

with roots at r = 0 and r = 4/5.
b) The recurrence for the coefficients
is

so that with r = 4/5, the coefficients are governed by

c) Starting with
, we find


so that the first three terms of the solution are

Answer: 37.778 degrees
Step-by-step explanation:
The third digit to the right of the decimal is thousandths. If the next digit to the right of that is 5 or more, add one to the thousandths. Otherwise leave it as is. Just drop everything to the right of the place you rounded to.
7 is greater than 5, so add 1 to the 7 in the thousandths place and get
37.778