A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
DE separation of variables: Is this right?
anonymous
 5 years ago
DE separation of variables: Is this right?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Solve the following problem using separation of variables. \[dy/dt = (y ^{2}+5)/2y\] \[2y * dy/dt=y ^{2}+5\] \[\int\limits2y/(y ^{2}+5)dy=\int\limits dt\] \[u=y ^{2}+5\] \[du=2ydy\] \[1/2\int\limits 1/u du = 1/2 \ln(y ^{2}+5)\] \[1/2 \ln(y ^{2}+5)=t+c\] At y(0)=2: \[1/2 \ln(2^{2}+5)=0+c\] 1/2 ln (9)=c

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Integrating mistake; I think I drop the 1/2 so that it's just ln(9)=c...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah, I got the same answer. Are you asked to solve y?!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Just solve initial condition of y(0)=2. Thanks!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah I can see that. It's usually better to write the solution as a function of t, if possible.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hey anwar im srry to bother u but do you think you can help me after your donehere

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0We didn't have to do that for this problem. I'm reviewing for a cumulative final on Wednesday; these questions are from early in the semester!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I see. Good luck. @nath: I'll have a look at your problem. But to let you know, I am not good at series in general :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I can't find your problem!
Ask your own question
Sign UpFind more explanations on OpenStudy
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.