Message Boards

WOLFRAM COMMUNITY

2826 Views

1 Reply

1 Total Likes

View groups...

Follow this post

Share this post:

GROUPS:

Mathematics Calculus Wolfram Language

How to put an expression in terms of hyperbolic functions?

Jacques Ou

Posted 2 years ago

The following expression should be Sinh[]/Cosh[]. (E^(-Sqrt[ n] (r + 2 r0)) (-cms Dm (E^(Sqrt[n] (r + 2 r0)) - E^( Sqrt[n] (2 r + r0 + \[Delta])) - E^( Sqrt[n] (3 r0 + \[Delta])) + E^( Sqrt[n] (r + 2 (r0 + \[Delta])))) f Km m Sqrt[ n] (1 + Ks \[Epsilon]) \[Theta] + (-E^(Sqrt[n] (2 r + r0)) Imax (-m + n) + E^(Sqrt[n] (3 r0 + 2 \[Delta])) Imax (-m + n) + cms Dm E^(Sqrt[n] (2 r + r0 + \[Delta])) f m Sqrt[ n] (1 + Ks \[Epsilon]) \[Theta] + cms Dm E^(Sqrt[n] (3 r0 + \[Delta])) f m Sqrt[ n] (1 + Ks \[Epsilon]) \[Theta] - E^(Sqrt[n] (r + 2 r0)) m Sqrt[ n] (Imax (r - r0 - \[Delta]) + cms Dm f (1 + Ks \[Epsilon]) \[Theta]) - E^(Sqrt[n] (r + 2 (r0 + \[Delta]))) m Sqrt[ n] (Imax (r - r0 - \[Delta]) + cms Dm f (1 + Ks \[Epsilon]) \[Theta])) cm[r0]))/(Dm (1 + E^(2 Sqrt[n] \[Delta])) f n^(3/2) \[Theta] (Km + cm[r0]))

The following expression should be Sinh[]/Cosh[].

(E^(-Sqrt[
         n] (r + 2 r0)) (-cms Dm (E^(Sqrt[n] (r + 2 r0)) - E^(
            Sqrt[n] (2 r + r0 + \[Delta])) - E^(
            Sqrt[n] (3 r0 + \[Delta])) + E^(
            Sqrt[n] (r + 2 (r0 + \[Delta])))) f Km m Sqrt[
          n] (1 + Ks \[Epsilon]) \[Theta] + (-E^(Sqrt[n] (2 r + r0))
               Imax (-m + n) + 
            E^(Sqrt[n] (3 r0 + 2 \[Delta])) Imax (-m + n) + 
            cms Dm E^(Sqrt[n] (2 r + r0 + \[Delta])) f m Sqrt[
             n] (1 + Ks \[Epsilon]) \[Theta] + 
            cms Dm E^(Sqrt[n] (3 r0 + \[Delta])) f m Sqrt[
             n] (1 + Ks \[Epsilon]) \[Theta] - 
            E^(Sqrt[n] (r + 2 r0)) m Sqrt[
             n] (Imax (r - r0 - \[Delta]) + 
               cms Dm f (1 + Ks \[Epsilon]) \[Theta]) - 
            E^(Sqrt[n] (r + 2 (r0 + \[Delta]))) m Sqrt[
             n] (Imax (r - r0 - \[Delta]) + 
               cms Dm f (1 + Ks \[Epsilon]) \[Theta])) cm[r0]))/(Dm (1 + 
         E^(2 Sqrt[n] \[Delta])) f n^(3/2) \[Theta] (Km + cm[r0]))

POSTED BY: Jacques Ou