Answer:
Parent function: 
Step-by-step explanation:
Parent function is the simplest form of the type of function given
for equation: 
the simplest form is: 
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:
D.
Step-by-step explanation:
-2/5 - (-9/15) = -2/5 + 9/15.
both of those equations are equivalent.
hope this helps.
9514 1404 393
Answer:
the listed sequences have no common difference(s)
Step-by-step explanation:
The differences in the first sequence are ...
8, 10, -1, 19
These values are not equal, so there is no common difference.
__
The differences in the second sequence are ...
-3, 3, -3, 3
These values are not equal, so there is no common difference.
_____
The difference is the difference between a term value and the one before.
1 -(-7) = 8
3 -6 = -3