Answer: x = 3
Step-by-step explanation:
5x - 1 + 14 - original equation
5x = 15 - add 1 to both sides
x = 3 - divide both sides by 5
Combine costs
59.99(3) + 75 = 179.97 + 75
179.97 + 75 = $254.99 (total cost)
Now add tax: 8% = 0.08
254.99 * 0.08 = 20.3992
254.99 + 20.3992 = 275.3892
Solution: bill would be around $275
Substituting into the ODE
gives
so that the coefficients of the series are given according to
We can shift the index in the recursive part of this definition to get
for 
. There's dependency between coefficients that are 2 indices apart, so we can consider 2 cases:
- If
, where 
is an integer, then
but since 
, we have 
and 
for all .
- If
, then
and so 
for all 
. If 
, we then have 
and 
.
So the ODE has solution
Answer:
very hard, why don't you search on internet
