A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
Use separation of variables to solve differential equation: dy/dt=t/((y+1)^1/2)), y(1)=3 ???
 2 years ago
Use separation of variables to solve differential equation: dy/dt=t/((y+1)^1/2)), y(1)=3 ???

This Question is Closed

dumbcow
 2 years ago
Best ResponseYou've already chosen the best response.0use algebra to get "t" terms with dt on one side, and "y" terms with dy on other side you might try crossmultiplying here

S
 2 years ago
Best ResponseYou've already chosen the best response.0thanks, I know that step, right now I am stuck with interval part

dumbcow
 2 years ago
Best ResponseYou've already chosen the best response.0oh ok, you didn't say so i thought i'd start from beginning :) im guessing the sqrt(y+1) part

Algebraic!
 2 years ago
Best ResponseYou've already chosen the best response.0if you can't do the 'y' part in your head... use u=y+1 du =dy \[{ \int\limits_{}^{}} \sqrt{u} du =?\]

dumbcow
 2 years ago
Best ResponseYou've already chosen the best response.0sqrt is 1/2 power ... just use power rule

S
 2 years ago
Best ResponseYou've already chosen the best response.0so I get 1/2(y+1)^1/2=t^2/2 ?

Algebraic!
 2 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{ }^{ } x ^{n} = \frac{ 1 }{ n+1 } * x ^{n+1}\]

S
 2 years ago
Best ResponseYou've already chosen the best response.0i got 2/3(Y+1)^3/2=t^2/2, right?

dumbcow
 2 years ago
Best ResponseYou've already chosen the best response.0yes ... but don't forget constant "+C" on right side
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.