syms s t a b
laplace(exp(b*t)*cos(a*t+c))

syms c; laplace(exp(b*t)*cos(a*t+c))

latex(ans)

ilaplace((s+d)/((s+a)*(s+b)*(s+c)))

latex(ans)

ilaplace((s^3+7*s^2+24*s+24)/(s^4+10*s^3+35*s^2+50*s+24))

latex(ans)

L=ilaplace(a/(s^4+a^4))

latex(L);
laplace(L)

ilaplace(a/(s^8+a^8))

ilaplace(1/(s^5+2*s^4+3*s^3+4*s^2+5*s+6))

roots([1,2,3,4,5,6])

[r,p,k]=pfrac(1,[1,2,3,4,5,6])