Answer:
2
Step-by-step explanation:
greatest common factor means the greatest number we can divide by for each of the number and still get a whole number
14 and 22. they are both even so one factor is 2
if we check, 14 & 22 aren't both divisible by 3,4,5,6,7,8,9,10,11,12,13,14 so the gcf is 2
Answer:

Step-by-step explanation:
The general solution will be the sum of the complementary solution and the particular solution:

In order to find the complementary solution you need to solve:

Using the characteristic equation, we may have three cases:
Real roots:

Repeated roots:

Complex roots:

Hence:

Solving for
:

Since we got complex roots, the complementary solution will be given by:

Now using undetermined coefficients, the particular solution is of the form:

Note:
was multiplied by x to account for
and
in the complementary solution.
Find the second derivative of
in order to find the constants
and
:

Substitute the particular solution into the differential equation:

Simplifying:

Equate the coefficients of
and
on both sides of the equation:

So:

Substitute the value of the constants into the particular equation:

Therefore, the general solution is:


Answer:
-0.7
Step-by-step explanation:
-2n+1.8=3.2
-2n=3.2-1.8
-2n=1.4
n=1.4/-2
n=-0.7