Take the homogeneous part and find the roots to the characteristic equation:

This means the characteristic solution is

.
Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form

. Finding the second derivative involves quite a few applications of the product rule, so I'll resort to a different method via variation of parameters.
With

and

, you're looking for a particular solution of the form

. The functions

satisfy


where

is the Wronskian determinant of the two characteristic solutions.

So you have




So you end up with a solution

but since

is already accounted for in the characteristic solution, the particular solution is then

so that the general solution is
Answer:
B
Step-by-step explanation:
Took the test
The union of a collection of sets is the set of all elements in the collection.
We have B = {a, l, g, e, b, r} and C = {m, y, t, h}
<h3>B ∪ C = {a, l, g, e, b, r, m, y, t, h}</h3>
Answer:
Total number of coffee pot = 16 pots
Step-by-step explanation:
Given:
Time taken for drying all coffee pot = 10 minutes
Total time taken for cleaning and drying coffee pot = 82 minutes
Time taken for clean a coffer pot = 4 ½ minutes = 4.5 minutes
Find:
Total number of coffee pot
Computation:
Total time taken for cleaning = Total time taken for cleaning and drying coffee pot - Time taken for drying all coffee pot
Total time taken for cleaning = 82 - 10
Total time taken for cleaning = 72 minutes
Total number of coffee pot = Total time taken for cleaning / Time taken for clean a coffer pot
Total number of coffee pot = 72 / 4.5
Total number of coffee pot = 16 pots
Answer:
f(x)= -2x-3, im so sorry if this is wrong
Step-by-step explanation:
to translate it left you have to add 2