Answer:
Step-by-step explanation:
4.2 = <u>c
</u> 8
<u>
<em /></u><em>multiply both sides by 8
</em>
4.2* 8 = <u>8</u><u>c
</u> 8
<u>
</u> c = 33.6<u>
</u>
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

It is 1/6 or .16 I used Photomath
2/33 * 1/5 * 11/10 = (2 * 1 * 11) / (33 * 5 * 10) = 22/1650 reduces to 1/75