syms s
y = (8*(s+1)*(s+3))/((s+2)*(s+4)*(s+6)^2);
%Partial fraction
pf = partfrac(y);
disp('Partial Fraction: ')
disp(pf)
%Inverse laplace transform
syms yl(t)
dy(t) = ilaplace(y)
disp('Inverse laplace transform:')
disp(dy)
%first derivative
syms yl1(t)
d2y(t) = diff(dy,t);
%plot
t = 0:0.01:1;
a = dy(t);
b = d2y(t);
hold on
plot(t,a,'b',t,b,'r')
hold off
%output:-
1) command window
2)PLOT
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