Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
awfawef
Group Title
*Solve the differential equation dy/dx=x/16y.
*Find the equation of the solution through the point (x,y)=(−4,1).
*Find the equation of the solution through the point (x,y)=(0,−4). Your answer should be of the form y=f(x)
 6 months ago
 6 months ago
awfawef Group Title
*Solve the differential equation dy/dx=x/16y. *Find the equation of the solution through the point (x,y)=(−4,1). *Find the equation of the solution through the point (x,y)=(0,−4). Your answer should be of the form y=f(x)
 6 months ago
 6 months ago

This Question is Closed

awfawef Group TitleBest ResponseYou've already chosen the best response.0
I already solved the first part. C=8y^2 (x^2/2)
 6 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
ok replace your x and y with 4 and 1 respectively to find the C so that your graph for your equation will go through that point
 6 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
so y=sqrt((x^2/16) + c) and i plugged in (4,1) and got y=sqrt((x^2/16) is that correct?
 6 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
c= 0 for the second question?
 6 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
You have \[C=8y^2\frac{x^2}{2}\] Replace x with 4 and y with 1 like this: \[C=8(1)^2\frac{(4)^2}{2}\] Is this what you did to solve for C?
 6 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
\[C=8\frac{16}{2}=88=0\]
 6 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
yes that's what i did
 6 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
I can't do arithmetic somethings lol But you have \[0=8y^2\frac{x^2}{2} \]
 6 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
that is the equation satisfying the point (4,1)
 6 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
hmm it the system doesn't seem to accept it.. it says it isn't a linear equation
 6 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
doesn't that mean i have to solve for y=...
 6 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Your differential equation was: \[\frac{dy}{dx}=\frac{x}{16y} \text{ \right ?} \]
 6 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Ok solve for y make sure you keep in mind we want to go through the point (4,1)
 6 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
ok so y=x/4
 6 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
but it still doesn't work??
 6 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
oh wait y=x/4 works!!
 6 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
We wanted y=x/4 That is why I said to keep in mine we want it going through (4,1) :)
 6 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
The equation y=x/4 doesn't satisfy the point (4,1) but y=x/4 does
 6 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Like 1=(4)/4
 6 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
ohh i get it now
 6 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
thanks a lot!!
 6 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
i'm going to do the last part now
 6 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
c=128 for the last part right?
 6 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
oh i got the last part too!!
 6 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
thanks a lot again!!!
 6 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
yes C=128 for the last one
 6 months ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.