A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
solve this differential equation:
y'+(4/x)y = 2
initial condition: y(1)=4
anonymous
 3 years ago
solve this differential equation: y'+(4/x)y = 2 initial condition: y(1)=4

This Question is Closed

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1this is linear do you know how to use an integrating factor?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yes, i have solved it but it has been a long time and I can't remember how to handle the constant c that I get out of my integral

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1how far did you get?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I have an answer, but when I get to this part: yx^4=(2/5)x^5+c I'm not sure if I also apply my x^4 to the c or leave it as a constant

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0also, how do I handle the absolute value that gets kicked out of a logarithmic function?

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1if you want the "explicit" solution, solve for y y(1)=4 means you can plug in x=1 and y=4, which will allow you to solve for c

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yes, but am I solving y=(2/5)x+c or am i solving y=(2/5)x+cx^4?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0from this: yx^4=(2/5)x^5+c do I go to y=(2/5)x + c or y=(2/5)x+cx^4?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0which can also be written as y=(2/5)x+c/(x^4)

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1yes, that is correct

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0which one? the second one?

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1oh I see, I didn't mean to copy the '?' the second one is right y=(2/5)x+cx^4=(2/5)x+c/(x^4)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0gotcha, thank you! I appreciate that. makes life a whole lot easier. lol

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0from there applying initial conditions is a piece of cake!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0thanks for your help man(or woman), I really appreciate it.
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.