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

This Question is Closed

saadi
 2 years ago
Best ResponseYou've already chosen the best response.2separate the variables (1/x)dx=3t^2dt integrate both sides can you do this ?

haganmc
 2 years ago
Best ResponseYou've already chosen the best response.0i got it to ln(x)= t^3 +C

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{\text dx}{\text dt}=3xt^2\] \[\frac{\text dx}{x}=3t^2\text dt\] \[\int\frac{\text dx}{x}=\int3t^2\text dt\] \[\ln x=t^3+c\]

haganmc
 2 years ago
Best ResponseYou've already chosen the best response.0how to i get from this to x=Ce^(t^3)

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.1\[\ln x=t^3+c\]\[e^{\ln x}=e^{t^3+c}\]\[x=e^ce^{t^3}\]\[x=ke^{t^3}\]

saadi
 2 years ago
Best ResponseYou've already chosen the best response.2ok 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 \[\Large x=Ce^{t^3}\]
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.