Recent content by awetawef

I am reading an Abstract Algebra book, and there is a theorem that says: Thm: If G is a finite group, then the number of elements conjugate to a is the index of the normalizer in G. The book uses the normalizer to mean N(a\in G)=\{ x\in G\colon xa=ax\} Now if the group is S_4, and...

I don't know very much about DEQs, can someone point me in the right direction for solving this? Note: \phi is a function of another variable and C_1, C_2 are constants. -\phi ^2 \cdot C_1=\frac{1}{1+\phi ' ^2}+C_2 I have tried trig sub, but I didn't get anywhere. Regards...