Answer:
So, solution of the differential equation is

Step-by-step explanation:
We have the given differential equation: y′′+4y=5xcos(2x)
We use the Method of Undetermined Coefficients.
We first solve the homogeneous differential equation y′′+4y=0.

It is a homogeneous solution:

Now, we finding a particular solution.

we get

So, solution of the differential equation is

Answer:
The second and fourth one is right
Step-by-step explanation:
A²+ B² = C²
15² + 20² = 25²
225 + 400 = 625
625 = 625
16² + 30² = 34²
256 + 900 = 1156
1156 = 1156
They both check out
Answer: 0.444225
Step-by-step explanation:
Given : The total number of tickets = 50
Number of tickets are randomly sampled without replacement =6
Since the order of selection is not important , so we use combinations.
Total number of ways to select 6 tickets = 
The number of winning tickets = 6
So, number of tickets that are not winning = 50-6=44
Number of ways of selecting zero winning numbers= 
Now , the probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket out of the 50 possible numbers would be 

Hence, the required probability = 0.444225
Cubert (x^2) * cubert(x^2)=
Since they're both cube roots you can multiply the radicands.
Cube root (x^4)=
x cube root x