Answer:
<h2>VU=16</h2><h2>x=2</h2>
Step-by-step explanation:
lets solve the problem 7x+2=3x+10
subtract 3x from 7x
4x+2=10
subtract 2 from 10
4x=8
divide both sides by 4
x=2
to find VU plug in 2 for x so...
3(2)+10
6+10
16
I hope this helped you :)
I don't know what method is referred to in "section 4.3", but I'll suppose it's reduction of order and use that to find the exact solution. Take

, so that

and we're left with the ODE linear in

:

Now suppose

has a power series expansion



Then the ODE can be written as


![\displaystyle\sum_{n\ge2}\bigg[n(n-1)a_n-(n-1)a_{n-1}\bigg]x^{n-2}=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bn%5Cge2%7D%5Cbigg%5Bn%28n-1%29a_n-%28n-1%29a_%7Bn-1%7D%5Cbigg%5Dx%5E%7Bn-2%7D%3D0)
All the coefficients of the series vanish, and setting

in the power series forms for

and

tell us that

and

, so we get the recurrence

We can solve explicitly for

quite easily:

and so on. Continuing in this way we end up with

so that the solution to the ODE is

We also require the solution to satisfy

, which we can do easily by adding and subtracting a constant as needed:
<u><em>Answer:</em></u>
<u><em /></u>
<u><em>Explanation:</em></u>
<u>Before we begin, remember the following rules:</u>
<u>1- Distribution property:</u>
<u />
<u>2- Simplification of fractions:</u>
<u />
<u>3- Signs in multiplication:</u>
+ve * +ve = +ve
-ve * -ve = +ve
+ve * -ve = -ve
<u>Now, for the given problem, we have:</u>
<u></u>
<u>Starting with the distributive property:</u>
<u />
..................>This corresponds to option 1
<u>Now, we simplify the output from the above step:</u>
<u />
................> This corresponds to option 5
Hope this helps :)