A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
Find the solution to the differential equation \[\frac{ dy }{ dx }+\frac{ y }{ 5 }=0 \]
with the initial condition y(0)=8
 2 years ago
Find the solution to the differential equation \[\frac{ dy }{ dx }+\frac{ y }{ 5 }=0 \] with the initial condition y(0)=8

This Question is Closed

xartaan
 2 years ago
Best ResponseYou've already chosen the best response.0So, ive done separation of variables, and integrated dy/(y) amd dx/5 and gotten ln(y) = x/5+C, but I am not sure what to do next.

RyanL.
 2 years ago
Best ResponseYou've already chosen the best response.0when x=0 y=8 plug that solve for c and yeah isolate y

xartaan
 2 years ago
Best ResponseYou've already chosen the best response.0ok, so \[\ln(y)=\frac{ x }{ 5 }+C\] becomes \[y=e^(\frac{ x }{ 5 }+C)\]

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1yup, c=ln 8 so ln y +ln 8 = x/5 ln (y/8) = x/5 got this ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1property of log, log Alog B =log (A/B)

xartaan
 2 years ago
Best ResponseYou've already chosen the best response.0Haha yes, making every mistake posssible on this one. Thanks for the help!
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.