Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

jje089 Group Title

Solve the differential equation dT(t)/dt= 0.85(75+35sin(t)-T)

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. Mr.Math Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    This is a first order DE, and can be rewritten as: \[T'+0.85T=29.75\sin t+63.75\] In order to make this ODE separable, we multiply by the integrating factor [ http://en.wikipedia.org/wiki/Integrating_factor ] The integrating factor here is \(\large e^{\int0.85dt}=e^{0.85t}\). Multiply both sides by the integration factors, you get: \[e^{0.85t}T'+0.85e^{0.85t}T=e^{0.85t}(29.75\sin t+63.75).\] This is equivalent to: \[\frac{d}{dt} (e^{0.85t}T)=e^{0.85t}(29.75\sin t+63.75).\] Integrate both sides and you're done!

    • 2 years ago
  2. jje089 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Great thanks!!!

    • 2 years ago
    • Attachments:

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...


  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.