A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing

This Question is Closed

baldymcgee6
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ dx }{ dt } = \frac{ 1+\sqrt{t} }{ 1+\sqrt{x} }\]

baldymcgee6
 2 years ago
Best ResponseYou've already chosen the best response.0i ended up with something, but I cant explicitly solve for t

baldymcgee6
 2 years ago
Best ResponseYou've already chosen the best response.0The way we were tough is to separate the variables and then integrate each side.

baldymcgee6
 2 years ago
Best ResponseYou've already chosen the best response.0that's not how we were taught to do it.. http://en.wikipedia.org/wiki/Separation_of_variables

ksaimouli
 2 years ago
Best ResponseYou've already chosen the best response.0hmm sorry i have not yet learned those so sorry what chapter is this

baldymcgee6
 2 years ago
Best ResponseYou've already chosen the best response.0What chapter? It would depend what textbook. And what class.

ksaimouli
 2 years ago
Best ResponseYou've already chosen the best response.0i mean name of the chapter

ksaimouli
 2 years ago
Best ResponseYou've already chosen the best response.0is this college calculus

abb0t
 2 years ago
Best ResponseYou've already chosen the best response.0:O I think it is separable!

wio
 2 years ago
Best ResponseYou've already chosen the best response.1Multiply both sides by \(1+\sqrt{x}\). Integrate with respect to \(t\).

oldrin.bataku
 2 years ago
Best ResponseYou've already chosen the best response.1This is very clearly a separable firstorder ordinary differential equation. We can easily separate as follows: $$\frac{dx}{dt}=\frac{1+\sqrt{t}}{1+\sqrt{x}}\\(1+\sqrt{x})\ dx=(1+\sqrt{t})\ dt$$Now, it should be clear that we integrate both sides.$$\int(1+\sqrt{x})\ dx=\int(1+\sqrt{t})\ dt\\x+\frac23x^\frac32=t+\frac23t^\frac32+C$$ This yields an implicit solution; for an explicit one, you'll need to isolate \(x\)... it won't be pretty.

baldymcgee6
 2 years ago
Best ResponseYou've already chosen the best response.0@oldrin.bataku thanks for the reply, that is the same thing I did, but I couldn't figure out how to get an explicit solution. I suppose I will leave it at this. Thank you

oldrin.bataku
 2 years ago
Best ResponseYou've already chosen the best response.1I *highly* doubt your teacher wants an explicit solution ;) http://www.wolframalpha.com/input/?i=solve+x+%2B+2%2F3+x%5E%283%2F2%29+%3D+t+%2B+2%2F3+t%5E%283%2F2%29%2Bc
Ask your own question
Ask a QuestionFind 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.