Basic differential equation question

[Michael_Light]

Homework Statement

Solve the equation:

y' = (1-y²)/ (1-x²) , y(0) = 3

Homework Equations

, 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..

 

[obafgkmrns]

Have you checked to see whether your solution satisfies the initial condition or the original ODE?

 

[JHamm]

You are correct, I checked with WolframAlpha and your answers are the same:
http://www.wolframalpha.com/input/?i=y'+=+(1-y^2)/(1-x^2),+y(0)+=+3

 

[RogerBenningt]

I tried it too and I got your answer. Then I checked Wolfram Alpha and it confirmed it.

 

[epenguin]

Me too and confirm check if the 'given answer' satisfies the d.e.

(Useful habit too).