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
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the number of hours Eli worked
y ----> the number of hours Samantha worked
we know that
Eli and they ironed 400 shirts between them
so
-----> equation A
Samantha worked 2 more hours than Eli
so
----> equation B
solve the system by substitution
substitute equation B in equation A
solve for x
Find the value of y
substitute the value of x in equation B
therefore
The number of hours Eli worked was 6 and the number of hours Samantha worked was 8
The answer is 12.5.
Explanation:
The first point that touches the graph is at (2, 25). In two hours, the rider travels 25 miles, so then to get to one hour, you divide 25 by 2 and you get 12.5. If you look on the graph, it’s about right where the point lays.
Step-by-step explanation:
Radius of the circle is 20mm.
Use the formula for the area of the circle.
A = r^2 * π
A = 20^2 * π
A = 1256.64 mm^2 (2 d.p.)
