Basic differential equation question

Click For Summary

Homework Help Overview

The discussion revolves around a basic differential equation problem involving the equation y' = (1-y²)/(1-x²) with the initial condition y(0) = 3. Participants are examining the correctness of a derived solution compared to a provided answer.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are checking the validity of the original poster's solution and whether it satisfies the initial condition and the original differential equation. There is a focus on confirming results using external tools like WolframAlpha.

Discussion Status

Several participants have confirmed the original poster's solution aligns with their own calculations and external verification. There is ongoing exploration of whether the provided answer satisfies the differential equation.

Contextual Notes

Participants are questioning the correctness of the given answer in relation to the derived solution and the initial condition, indicating a potential discrepancy that remains unresolved.

Michael_Light
Messages
112
Reaction score
0

Homework Statement



Solve the equation:

y' = (1-y2)/ (1-x2) , y(0) = 3

Homework Equations



MSP508919ib28ff5a89i3a600001e42670hc185fa3i.gif
, log(x) is natural logarithm

The Attempt at a Solution



After solving, my final result was 3 -y+x-3xy =0, but the given answer is 8x2+y2=9.. can someone please kindly check the answer for me? I checked it several times but I still couldn't find anything wrong with my solution..
 
Physics news on Phys.org
Have you checked to see whether your solution satisfies the initial condition or the original ODE?
 
I tried it too and I got your answer. Then I checked Wolfram Alpha and it confirmed it.
 
Me too and confirm check if the 'given answer' satisfies the d.e. :wink:

(Useful habit too).
 

Similar threads

Replies
7
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
Replies
3
Views
2K
  • · Replies 27 ·
Replies
27
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
10
Views
2K
Replies
7
Views
2K
  • · Replies 33 ·
2
Replies
33
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K