Answer: 0.559192903....
Step-by-step explanation:
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:


<h2>
Answer:</h2>
The difference in the cost for a one-night stay with and without breakfast is:
$ 23
<h2>
Step-by-step explanation:</h2>
Total cost to stay one night at sleepyhead Motel without breakfast is: $119.
and cost to stay one night at sleepyhead Motel with breakfast is: $142.
Hence, the difference in the cost for a one-night stay with and without breakfast is calculated by:
$ (142-119)
= $ 23
Hence, the answer is: $ 23
Answer:
9
Step-by-step explanation:
2(10) + 4(x-3) = 44
4(x-3) = 24
x-3 = 6
x = 9
It can go up to four dimensional.