Nama : M.Annas NajihNIM : 24040213060017

No.1-6

>> syms s;>> f=5;>> laplace(f,s) ans =5/s

>> syms s;>> f=5*t;>> laplace(f,s) ans =5/s^2

>> syms s t;>> f=t^5;>> laplace (f,s) ans =120/s^6

>> syms s;>> f=exp(5*t);>> laplace(f,s) ans =1/(s - 5)

>> syms s;>> f=cos (omega*t);>> laplace(f,s) ans = s/(omega^2 + s^2)

>> syms s;>> f=sin (omega*t);>> laplace(f,s) ans = omega/(omega^2 + s^2)

Cara 1 no.6-12

>> syms s;>> f=1/s;>> ilaplace(f,s) ans =1

>> syms s;>> f=1/s^2;>> ilaplace(f,s) ans = s

>> syms s;>> f=2/s^3;>> ilaplace(f,s)

ans = s^2

>> syms s;>> f=1/s^-a;>> ilaplace(f,s) ans = ilaplace(s^a, s, s) >> syms t;>> f=1/s^-a;>> ilaplace(f,t) ans = ilaplace(s^a, s, t) >> syms s;>> f=s/5^2+omega^2;>> ilaplace(f,s) ans = dirac(s)*omega^2 + dirac(s, 1)/25

>> syms s omega;>> f=(s/s^2)+omega^2;>> ilaplace(f,s) ans = dirac(s)*omega^2 + 1 >> syms s;>> f=(omega/s^2)+omega^2;>> ilaplace(f,s) ans = dirac(s)*omega^2 + s*omega

Cara 2

>> ilaplace(1/s) ans =1

>> ilaplace(1/s^2) ans =t >> ilaplace(2/s^3) ans = t^2

>> ilaplace(1/s^-a) ans = ilaplace(s^a, s, t) >> ilaplace(s/s^2+omega^2) ans = dirac(t)*omega^2 + 1

>> ilaplace(omega/s^2+omega^2) ans = dirac(t)*omega^2 + t*omega