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:16quarts
Step-by-step explanation:
4 times 4 is 16 because 4 quarts is one gallon
Answer: radius = 19.99 centimeters
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 22/7
From the information given,
Volume = 16328 cubic centimeters
Height = 13 centimeters
Therefore,
16328 = 22/7 × r² × 13
16328 = 40.857r²
Dividing the left hand side and the right hand side of the equation by 40.857, it becomes
r² = 16328/40.857 = 399.6378
Taking square root of the left hand side and the right hand side of the equation, it becomes
r = 19.99 centimeters
