fundoo MATLAB

MATLAB can do:

• laplace and inverse laplace
  > laplace(f)
  
• differentiation wrt x of a function f(x) to k-th order
  > diff(f, x, k)
  http://www.math.duke.edu/education/ccp/materials/diffeq/mlabtutor/mlabtut8.html
  
• can do partial fractions by finding poles and factors above (even works for repeated poles)
  > [r p k] = residue(b, a)
  Some theory about Partial Fractions at http://cnx.org/content/m2111/latest/