A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 3 years ago
Solve dy/dx=(5x+y)^2 4
I got 1/6ln((u3)/(u+3))=x using a substitution of u=(5x+y). Is that right?
 3 years ago
Solve dy/dx=(5x+y)^2 4 I got 1/6ln((u3)/(u+3))=x using a substitution of u=(5x+y). Is that right?

This Question is Closed

bward10
 3 years ago
Best ResponseYou've already chosen the best response.0the problem isnt stated properly... it looks wrong though. some clarification would help.

Dave321
 3 years ago
Best ResponseYou've already chosen the best response.1\[dy/dx=(5x+y)^24\] Is that better?

abtrehearn
 3 years ago
Best ResponseYou've already chosen the best response.1That usubstitution works for this differential equation. The substitution reduces it to the variablesseparable equation \[du/(u^{2}9) + dx = 0.\]

Dave321
 3 years ago
Best ResponseYou've already chosen the best response.1But then you still have to integrate it, right?

Dave321
 3 years ago
Best ResponseYou've already chosen the best response.1Did you get the same answer I got?

abtrehearn
 3 years ago
Best ResponseYou've already chosen the best response.1(1/6)(lnu  3  lnu + 3 = x + ln(C)/6 as an intermediate solution. Once that is taken back to original variables, we're finished.

abtrehearn
 3 years ago
Best ResponseYou've already chosen the best response.1My final solution is 5x  y + 3 = C e^(6x)(5x  y  3) in implicit form.

abtrehearn
 3 years ago
Best ResponseYou've already chosen the best response.1Its explicit form is \[y = 5 x + 3(1 + C e^{6x})/(1 + C e^{6x}).\]

abtrehearn
 3 years ago
Best ResponseYou've already chosen the best response.1For increasingly large values of x, all solution curves more closely approximate the linear function 5x + 3, so the line y = 5x + 3 is the asymtote of all solution curves.

abtrehearn
 3 years ago
Best ResponseYou've already chosen the best response.1That's a good problem, Dave :^)

Dave321
 3 years ago
Best ResponseYou've already chosen the best response.1I'll tell my professor;) Thanks!

abtrehearn
 3 years ago
Best ResponseYou've already chosen the best response.1Major tenfour, good buddy :^)
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.