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:
Personal Experience
Explanation:
If a story is based on a personal experience then yes, the two doesn't matter. <em>However</em>, usually learning through personal experience is better because you learn firsthand while stories are written from a different perspective.
Answer:
Abstraction
Explanation:
In computer science, abstraction has a similar definition. It is a simplified version of something technical, such as a function or an object in a program. The goal of "abstracting" data is to reduce complexity by removing unnecessary information. At some level, we all think of computers in abstract terms.
Answer:
The web browser sends an HTTP request to the IP address, the IP address then sends the content that are displayed by the browser
Explanation:
The process of converting the typed in URL to a displayed page is as follows;
1) The typed in URL is sent to a DNS recursor by the browser
2) The recursor gets the DNS record for the domain from the cache if the record is cached or when the DNS record for the domain is not cached, the recursor makes a requests to the DNS root from which the name of the TLD nameserver is received
3) The TLD nameserver is contacted by the resolver to obtain the authoritative nameserver's IP address
4) With the information, the resolver contacts the authoritative nameserver and obtains the domain's IP address for the domain the resolver contacts
5) The obtained IP address for the URL's domain is then sent to the browser by the resolver
6) An HTTP request is sent by the browser to the IP address and the data received by the browser from that IP address is rendered and seen as the page content.
