so is it all about codes and codes and codes and codes and codes lol
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:
A source is where you can look to find info. Multiple means many or some.
Therefore, a multiple source test is a test that you can find the answers in multiple sources, such as a book, article, journal, etc.
Answer: These are mostly used in interior design, fashion design, and advertising. they are often used to generate ideas for a client to meet their approval before making the final product. It can help in terms of planning because it could be used to create a design or a theme.
Explanation: yw
import math
num1 = int(input("Enter a number: "))
num2 = int(input("Enter a number: "))
print(math.gcd(num1, num2))
The gcd() - greatest common divisor function, which is part of the math module works perfectly in this situation.
