LaplaceX v.2.3: Calculate Laplace and Inverse Laplace Transforms.

what's new:

• irrational poles and zeros supported
• Dirac Impulse (d(t)) supported

version history:

• LaplaceX v.2.3:
  Dirac Impulse (d(t)) supported.
• LaplaceX v.1.2:
  Calculate Lapace and Inverse Laplace Transform of a F(s).
  Irrational poles and zeros supported.
  
• LaplaceX v.1.1:
  Calculate Lapace and Inverse Laplace Transform of a F(s).
  A bug of LaplaceX v.1.0 fixed.
  
• LaplaceX v.1.0:
  Calculate Lapace and Inverse Laplace Transform of a F(s).
  A bug of LaplaceX beta fixed, but new bug created (InvLapX not support symbolic functions).
• LaplaceX beta:
  Calculate Lapace and Inverse Laplace Transform of a F(s).
  Because of a bug, InvLapX not support not integer delays.
  

Usage:

mode requirements: Angle = RADIAN Complex Format = RECTANGULAR laplacex(f(t)) Only ONE GLOBAL u(t-delay) is supported (image 1): ex: laplacex(sin(3•t)) return 3/(s^2+9) ex: laplacex(sin(3•(t-5))•u(t-5)) return (3/(s^2+9)•e^(-5•s) ex: laplacex(sin(3•(t-5))•u(t-5)+u(t-7) return error message because sin(3•(t-5))•u(t-5)+u(t-7) has more than one u(t-delay) function invlapx(f(s)) Only ONE GLOBAL delay is supported (image 1): ex: invlapx((3/(s^2+9))•e^(-5•s)) return sin(3t) ex: invlapx((3/(s^2+9)•e^(-5•s)) return sin(3•(t-5))•u(t-5) ex: invlapx((3/s)e^(-5•s)+3/s^2) return wrong result because the delay e^(-5•s) is not global laplacex(•) and invlapx(•) support symbolic functions but the result can be print in a wrong manner (image 2): ex: invlapx((w/(s^2+w^2))e^(-d•s)) return sin((t-d)|w|)•u(t-d)•sign(w) and you must execute ans(1)|w>0 to have sin(w(t-d))•u(t-d) ex: invlapx((w/(s^2+w^2))e^(-d•s)) return a complex expression, you must 1. execute ans(1)|w>0 2. execute expand(ans(1),w) to have sin(w(t-5))•u(t-5)

image 1  image 2