Answer:An initial condition is an extra bit of information about a differential equation that tells you the value of the function at a particular point. Differential equations with initial conditions are commonly called initial value problems.
The video above uses the example
{
d
y
d
x
=
cos
(
x
)
y
(
0
)
=
−
1
to illustrate a simple initial value problem. Solving the differential equation without the initial condition gives you
y
=
sin
(
x
)
+
C
.
Once you get the general solution, you can use the initial value to find a particular solution which satisfies the problem. In this case, plugging in
0
for
x
and
−
1
for
y
gives us
−
1
=
C
, meaning that the particular solution must be
y
=
sin
(
x
)
−
1
.
So the general way to solve initial value problems is: - First, find the general solution while ignoring the initial condition. - Then, use the initial condition to plug in values and find a particular solution.
Two additional things to keep in mind: First, the initial value doesn't necessarily have to just be
y
-values. Higher-order equations might have an initial value for both
y
and
y
′
, for example.
Second, an initial value problem doesn't always have a unique solution. It's possible for an initial value problem to have multiple solutions, or even no solution at all.
Explanation:
Answer:
<u>Advantages of wireless communication:-</u>
- Flexibility in transferring the message through communication for which the sender and receiver can be in any place.
- Speed of the communication is accurate and fast
- Due to no wiring , the cost of the wireless communication is less.
<u>Disadvantages of wireless communication:-</u>
- The security is less as the data can be accessed by unauthorized sources at times.
- The setting up of wireless communication complex and expensive.
<u>Advantages of wired communication:-</u>
- Simple configuration
- Higher bandwidth is present in the cable
- High reliability
<u>Disadvantages of wired communication:-</u>
- Mobility is present for communication
- Installation requires lot of time due to cabling
- Requires extra devices for covering large areas for communication
Wireless communication is more preferable than wired communication in the conditions like communication connection that should face low damage and longer life which is not present in cable connection as they break or get disrupted.The flexibility of moving while communication is required by most people so, they use wireless communication .
<u>Answer:</u>
A. $686.00
<u>Reasoning:</u>
25+5+27=57 So the total amount of the deductions is $57
Subtract 57 from 743
743 - 57 = 686
So he is left with 686
[1] is false, because we are talking about light reaching Earth's surface as a whole, and not in one specific place.
[2] is false, because even if it was in the middle of the night, the other side of the world will be recieving pretty much just as much light as you did the following day.
[3] is false, because even though the sun comes up lower during Winter months, and higher during Summer months, seasons are not constant throughout the entire world. So for what may be Winter for you, will likely be Summer for someone else, so still, just as much light is reaching the Earth.
[4] is false, because wind doesn't affect how light travels.
[5] is true, because clear skies will allow more light to come through that cloudy skies, for example, meaning the amount of light reaching the Earth's surface would not be consistent.