Answer:
It’s also worth pointing out that the presentation of the algebraic expressions in coin word problems are a bit different and not so straightforward compared to what we’re used to. For example, instead of saying “the number of nickels is 2 more than the number of dimes“, you’ll often see this expressed in coin word problems as “there are 2 more nickels than dimes“. Both algebraic expressions can be written in an equation as n=d+2n=d+2 but just expressed differently.
Step-by-step explanation:
Tamara has 35 coins in nickels and quarters. In all, she has $4.15. How many of each kind of coin does she have? Right off the bat, the problem gives us two important pieces of information. First, it tells us that there is a total number of 35 coins consisting of nickels and quarters. Secondly, the total value of the coins is $4.15. We need to translate these statements into algebraic equations to find how many nickels and how many quarters she has.
BTW hope this helps
No it'll be way more. just do the math showing the capacity with the original and doubled dimensions
The given differential equation has characteristic equation
Solve for the roots 
.
The first case has the three cubic roots of 1 as its roots,
while the other case has a repeated root of
Hence the characteristic solution to the ODE is
Using Euler's identity
we can reduce the complex exponential terms to
and thus simplify 
to
For the non-homogeneous ODE, consider the constant particular solution
whose derivatives all vanish. Substituting this into the ODE gives
and so the general solution to the ODE is
