
The corresponding homogeneous equation,

has two roots at
, so that the characteristic solution is

For the particular solution, assume one of the form



Substituting
and its derivatives into the non-homogeneous ODE gives



Then the general solution to the ODE is

Step-by-step explanation:
Given
3 ( x + 4) + 2 ( 5 - x)
= 3x + 12 + 10 - 2x
= x + 22
Hope it will help :)❤
Answer:
The answer is 1/30 or 0.0333333...
Step-by-step explanation:
The way to find experimental probability is by comparing the number of times the event occurs to the total number of trials. In this question, there has only been one arrangement that consists of ballooons that are all the same color. This means that 1 (the number of times the event occurred)/ 30 (total number of trials) is the answer. I hope you have a great day!!
Option 4 would be the correct answer
Answer:
5.5 inches
Step-by-step explanation:
1) the formula to find the area of a square is l^2= area and l=length
in this case we already know the area but not the length
so we have to find the square root of 30 as the opposite operation needs to be used to find the missing number
so
√30= 5.47
5.47 rounded= 5.5
the length of one side is 5.5 in