Question

I need some help with creating some graphs in excel. Im not sure what data I need to input.
Once posted I will attach pictures of the three questions I need to do the graphs for. What the question is I have been told I need to do for each solution, draw their corresponding graph and clearly label and annotate as follows to include axes, units and titles.

Answer 1

@pooja195 @dan815 @nincompoop @ganeshie8

Answer 2

first question

Answer 3

Second question

Answer 4

third and final

Answer 5

im not sure o-o
@dan815 @nincompoop help please!

Answer 6

@michele_laino @jigglypuff314 @hero

Answer 7

Do you have excel for windows or mac?

Answer 8

windows

Answer 9

Oh you are just graphing functions

Answer 10

Im not sure. all I now is that I need to do this for each of the three questions. For each of these solutions, draw their corresponding graph and clearly label and annotate as follows to include axes, units and titles.

Answer 11

Well I assume they are just asking you to graph the solution (function) to each of your problem.

This should gives you a rough idea on how to use excel
https://www.youtube.com/watch?v=ITgT3YPDeLs

It is actually a fairly intuitive program to use.

This shows you how to annotate a graph.
https://youtu.be/AtWQA2YJ5O4?t=82

Answer 12

You can set up equations similar to how you would write them in a calculator in excel, you click cells to represent variables though.

Answer 13

Make sure that the graphs you set up follow any constraints set forth by the question

Answer 14

If you have any questions or problems setting up the graphs in excel let me know

Answer 15

The first hurdle is that im not sure what to put for the values for each of the questions

Answer 16

Well if you are just trying to graph something you can use arbitrary x values

Answer 17

I mean if they are only asking you to graph the function just use arbitrary inputs to show the shape of the curve (although make sure the inputs make sense with respect to the formula no negative time etc) that should be acceptable.

Answer 18

As far as I can tell from your question, unless they gave you any other direction

Answer 19

I recommend just using arbitrary inputs if it didn't specify what inputs to use. As at least that way you have something. You could also ask your instructor if that is fine as well.

Answer 20

Just make sure your inputs make sense

Answer 21

There should be more people on later, the youtube video links I provided should get you to where you need to go as far as graphing is concerned.

Note:
You can set up excel equations just like you would an equation into a calculator or computer. Just use brackets etc, your variables are just cells, the youtube video i provided show that though.

Answer 22

Thanks for your help. Hopefully when they come on later they can assist with this.

Answer 23

I am not sure what others will tell you that I have not though given the information you provided.

Answer 24

I really recommend you look at the youtube videos I provided. For question 6 use arbitrary inputs from like

-10 to 10, with interval of 1 that should be fine

so,

-10
-9
-8
etc

Answer 25

anyways I have to go, I highly recommend that you just graph them now using excel (watch the video) using arbitrary inputs. Then if you find that you need to use specified inputs (for some reason the question wasnt complete, or you are missing information) then you can easily change the values in excel no problem

Answer 26

the two videos I provided should suffice for you. I recommend using smooth curve to graph the equations.

Answer 27

Anyways let me know if you have any problems using excel.

Answer 28

first question:
The solution of your differential equation is:
\[\Large y\left( x \right) = {c_1}{e^{2x/3}} + {c_2}x{e^{2x/3}} + {y_p}\left( x \right)\]
in order to find the correct form of y_p, you have to try this substitution:
\[\Large {y_p}\left( x \right) = A{x^4} + B{x^3} + C{x^2} + Dx + E\]
where A, B, C, D, and E are real coeeficients

Answer 29

after as imple computation, I got:
\[\Large \begin{gathered}
{y_p}\left( x \right) = A{x^4} + B{x^3} + C{x^2} + Dx + E = \hfill \\
= \frac{x}{2} + \frac{5}{4} \hfill \\
\end{gathered} \]

Answer 30

coefficients*

Answer 31

second question:
here we can rewrite your ODE as follows:
\[\Large \frac{{dV}}{{dt}} + \frac{1}{{RC}}V = \frac{E}{{RC}}\]
and the corresponding solution is given by the subsequent expression:
\[\Large \begin{gathered}
V\left( t \right) = {e^{ - t/RC}}\left( {k + \int {\frac{E}{{RC}}{e^{t/RC}}dt} } \right) \hfill \\
\hfill \\
V\left( t \right) = k{e^{ - t/RC}} + E \hfill \\
\end{gathered} \]
where K is the integrtion constant, namely:
\[\Large V\left( 0 \right) = k\]

Answer 32

third question
the solution of your differential equation, is:
\[\Large x\left( t \right) = {c_1}{e^{5t + i3t}} + {c_2}{e^{5t - i3t}}\]
where c_1 and c_2 are two arbitrary real constants.
Now I can rewrite that solution as below:
\[\Large x\left( t \right) = {e^{5t}}\left\{ {{c_1}\cos \left( {3t} \right) + {c_2}\sin \left( {3t} \right)} \right\}\]
now using your initial conditions, we get:
\[\Large \begin{gathered}
{c_1} = 2 \hfill \\
{c_2} = - \frac{{10}}{3} \hfill \\
\end{gathered} \]