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
<span>The answer would be True not false.</span>
Answer:
The equation of a line in this form y- y1=m (x - x1) is called the point slope form.
Answer:
D is correct
Step-by-step explanation:
A graph of that sort will make a perfectly mirrored "V" shape, and with no offset, the bottom point will be on the y axis. This means that the first equation will intercept the y axis at zero, the second will intercept the y-axis at -15.
"A" may seem correct also, as the second graph will intercept the x-axis at -15, but it is not complete, as it will intercept that axis at +15 as well.
Answer:
slope = 
Step-by-step explanation:
calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (9, 6 ) and (x₂, y₂ ) = (4, 5 )
m = 
= 
=
