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: ....
Big Data
Explanation:
Big Data Technology can be defined as a Software-Utility that is designed to Extract,Analyse and Process the information from an extremely complex and large data sets which the Traditional Data Processing Software could never deal with. Big data is a field that treats ways to analyze, systematically extract information from, or otherwise deal with data sets that are too large or complex to be dealt with by traditional data-processing application software.
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Answer:
For the first picture, choose the second pair, and for the second one, choose the first pair
Explanation:
You need to attach a document of where i would read it from
Answer:
All of Given
Explanation:
The throw keywords can be used to throw any Throwable object. The syntax is :
throw <Throwable instance>
Note that Error and Exception are subclasses of Throwable while RuntimeException is a subclass of Exception. So the hierarchy is as follows:
Throwable
-- Error
-- Exception
-- RuntimeException
And all of these are valid throwable entities. As a result "All of Given" is the most appropriate option for this question.
