Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

How exactly do you separate?

**yago.dorea**- Replies: 5

I want to solve the following ODE:

(1 + t²)y' = ty(1 + y²) where y = y(t).

If I try to solve it by separation, I get complex roots, but I'm not trained yet to deal with them.

What should I do?

Ah I got it, you start from the beggining, I was doing the cofactors of the last terms... Thank you!

**yago.dorea**- Replies: 5

Hello, I want to prove that the determinant of Fibonacci's nxn tridiagonal matrix is equal to the (n+1)th term of the Fibonacci sequence.

I'm trying to do it by induction, stating that **det(F(n)) = det(F(n-1)) + det(F(n-2))** (yeah I don't know how to use LaTex)

but I don't know how to prove that the minor M(n, n-1)(F(n)) = det(F(n-2))

Thanks.

Pages: **1**