Given:
Admission to the local movie theater is $3 for each child and $7 for each adult.
A group of 12 people pay $64 admission.
To find:
The number of children in a group.
Solution:
Let the number of children be x and number of adults be y.
According to the question,
Total persons : ...(i)
Total cost : ...(ii)
Multiply equation (i) by 7 and subtract the result from (ii).
Divide both sides by -4.
Therefore, the number of children is 5.
Answer:
The given power series is a solution of the differential equation (1+x^2)y' + 2xy = 0
Step-by-step explanation:
This is a very trivial exercise, follow the steps below for the solution:
Step 1: Since n = 0, 1, 2, 3, 4, ........, Substitute the values of n into equation (1) below.
.....................(1)
Step 2: Find the derivative of y, i.e. y'
Step 3: Substitute y and y' into equation (2) below:
(Verified)
Since the LHS = RHS = 0, the given power series is a solution of the differential equation (1+x^2)y' + 2xy = 0