A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Find a general solution for dv/dt= 60t4v
anonymous
 3 years ago
Find a general solution for dv/dt= 60t4v

This Question is Closed

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.5\[\frac{dv}{dt} = 60t  4v\] \[\frac{dv}{dt} + 4v = 60t\] so find the integratiing factor \[ u = e^\int{4v}\]

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1Woops the integrating factor should be,\[\huge u=e^{\int\limits 4 dt}\] Without that silly v there.

Mimi_x3
 3 years ago
Best ResponseYou've already chosen the best response.5\[\frac{dv}{dt} \left(e^{4t}\right) + 4\left(e^{4t}\right) v= 60t(e^{4t}) \] \[\frac{dv}{dt} \left(e^{4t}\right) +\left(e^{4t}\right)'v =60t\left(e^{4t}\right) \] \[\left(e^{4t}v\right) '= 60t\left(e^{4t}\right) \] Integrate both sides. \[\int\limits\left(e^{4t}v\right) ' = \int\limits60t\left(e^{4t}\right) dt\] You should be able to do it now.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Alright, I get it.Thx ^^
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.