Method on @sym: partfrac (f) ¶

Method on @sym: partfrac (f, x) ¶

Compute partial fraction decomposition of a rational function.

Examples:

syms x
f = 2/(x + 4)/(x + 1)
  ⇒ f = (sym)
             2
      ───────────────
      (x + 1)⋅(x + 4)

partfrac(f)
  ⇒ ans = (sym)
            2           2
      - ───────── + ─────────
        3⋅(x + 4)   3⋅(x + 1)

Other examples:

syms x y
partfrac(y/(x + y)/(x + 1), x)
  ⇒ ans = (sym)
               y                 y
      - ─────────────── + ───────────────
        (x + y)⋅(y - 1)   (x + 1)⋅(y - 1)

partfrac(y/(x + y)/(x + 1), y)
  ⇒ ans = (sym)
               x            1
      - ─────────────── + ─────
        (x + 1)⋅(x + y)   x + 1

See also: @@sym/factor.

Package: symbolic