General solution of a differential equation (separable)

Click For Summary

Homework Help Overview

The discussion revolves around finding the general solution of the differential equation y' = 4t - ty², which falls under the subject area of differential equations, specifically separable equations.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses uncertainty about their solution process and seeks clarification on their steps and how to proceed further. Participants confirm the correctness of the original poster's work and discuss the implications of not specifying the subset of R for y.

Discussion Status

The discussion is ongoing, with participants providing confirmation of the original poster's approach and exploring the implications of the lack of specified constraints on y. There is no explicit consensus on the next steps, but guidance has been offered regarding the treatment of the modulus.

Contextual Notes

There is a noted absence of information regarding the range for y, which is a point of consideration in the discussion.

hpayandah
Messages
18
Reaction score
0

Homework Statement


Find the general solution of the differential equation y'=4t-ty^2

Homework Equations


y'=4t-ty^2


The Attempt at a Solution


I 'think' this question is pretty straight forward but I'm still not sure if I did it right or not. I have two question. One till the last step that I have done, have I done it correctly 2. How do I proceed from there? The attempt is attached.
 

Attachments

  • hw.jpg
    hw.jpg
    12.6 KB · Views: 256
Physics news on Phys.org
What you've written is correct. Normally, you should know on what subset of R you're looking for y. If not, then keep the modulus there and don't explicitate.
 
dextercioby said:
What you've written is correct. Normally, you should know on what subset of R you're looking for y. If not, then keep the modulus there and don't explicitate.

The proff didn't give any range for y. So by don't explicitate you mean I should keep it the way it is?
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
2K
Replies
7
Views
2K
Replies
2
Views
1K
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
Replies
10
Views
3K
Replies
6
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K