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:
3/4 is your answer.
I HOPE IT WILL HELP YOU.
I HOPE You Will Have a great day ahead.
Step-by-step explanation:
here
10^2=8^2+X^2
X^2=100-64
X=√36
X=6
Answer:
The ratio for sin(X) is 
The ratio for cos(X) is 
Step-by-step explanation:
- The ratio of the sine of a right triangle is:

Since we need the ratio for angle X,
. From the picture we can infer that the opposite side of X is
. The hypotenuse (the side opposite to the right angle) is 12, so replacing the values:

- The ratio of the cosine is:

Similarly,
, adjacent side = 5, and hypotenuse = 12, so
