Quantcast

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

haganmc Group Title

solve the seperable equation: dx/dt=3xt^2

  • one year ago
  • one year ago

  • This Question is Closed
  1. alexwee123 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    integral?

    • one year ago
  2. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Differentiate..lol

    • one year ago
  3. saadi Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    separate the variables (1/x)dx=3t^2dt integrate both sides can you do this ?

    • one year ago
  4. haganmc Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i got it to ln(x)= t^3 +C

    • one year ago
  5. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{\text dx}{\text dt}=3xt^2\] \[\frac{\text dx}{x}=3t^2\text dt\] \[\int\frac{\text dx}{x}=\int3t^2\text dt\] \[\ln x=t^3+c\]

    • one year ago
  6. haganmc Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    how to i get from this to x=Ce^(t^3)

    • one year ago
  7. UnkleRhaukus Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\ln x=t^3+c\]\[e^{\ln x}=e^{t^3+c}\]\[x=e^ce^{t^3}\]\[x=ke^{t^3}\]

    • one year ago
  8. saadi Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    ok now you can write in explicit form raise both sides to e power \[\Large e^{\ln(x)}=e^{t^3+C}\] \[\Large x=e^ce^{t^3}\] or \[\Large x=Ce^{t^3}\]

    • one year ago
  9. haganmc Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks

    • one year 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...

23

  • 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.