The solution depends on the value of

. To make things simple, assume

. The homogeneous part of the equation is

and has characteristic equation

which admits the characteristic solution

.
For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be

. Then

So you have


This means


and so the general solution would be
Answer:
2 quarts of 100% antifreeze.
Step-by-step explanation:
5 quarts/ .40 * x/ 1
.40x= 5
x=2
Answer:
6.3
Step-by-step explanation:
8.5 - (-4.8)
Let's focus on - (-4.8)
if a negative number is subtracted, it reverses itself
In other words, if a negative number is being subtracted, it is the same as being added as a positive number
So we change the equation to
8.5 + 4.8 = 13.3
Now we subtract 7 from 13.3
Since positive 7 is being subtracted, the rule for -4.8 does not apply to it
13.3 - 7 = 6.3