Basic differential equation question

  • #1

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..
 

Answers and Replies

  • #2
121
0
Have you checked to see whether your solution satisfies the initial condition or the original ODE?
 
  • #4
I tried it too and I got your answer. Then I checked Wolfram Alpha and it confirmed it.
 
  • #5
epenguin
Homework Helper
Gold Member
3,863
895
Me too and confirm check if the 'given answer' satisfies the d.e. :wink:

(Useful habit too).
 

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