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ilt

ilt(1/s*1/(1+T1*s)*1/...

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ilt-laplace-sin

laplace(t,t,s);

laplace(1,t,s);

laplace(sin(t),t,s);

Calculate

ilt

fs : -s/(s^3 + 4*s^2 ...

ilt( fs, s, t );

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ilt-laplace-ratsimp

r2: -(7.5-9.5)/50e-3;

zr1:42;

zR2: r2;

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ilt

fs : 1/(0,2*s+1);

ilt( fs, s, x );

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ilt

ilt(s,s,t);

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ilt

ilt(2*s/(s^2-7),s,t);

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ilt

ilt(1/((s+2*l)*(s+3*l...

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ilt

f(p):=p/(p^2 +1)^2 +(...

ilt(f(p), p, t);

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ilt

ilt(4/(s-3),d, t);

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ilt

Run Example
(%i1)f=ilt(s/((s^2+1)*((s-1)^2+1)),s,t);
                     2 sin(t)     t  3 sin(t)   cos(t)    cos(t)
(%o1)          f = - -------- + %e  (-------- - ------) + ------
                        5               5         5         5
(%i2) g=ilt((s-2)/(s^2-2*s+2),s,t);
                                 t
(%o2)                      g = %e  (cos(t) - sin(t))
(%i3) simplify(f+g);
(%o3)                           simplify(g + f)
(%i4) 
Run Example
F= (s^2-5*s+6)/(s^4+3*s^3-110*(s^2)-300*s+1000);
                                    2
                                   s  - 5 s + 6
(%o1)                F = ---------------------------------
                          4      3        2
                         s  + 3 s  - 110 s  - 300 s + 1000
(%i2) ilt(F, s, t);
(%o2)                            ilt(F, s, t)
(%i3) 
Run Example
ilt( (a/s)*(1/(s+a)),s,t);
                                        - a t
(%o1)                             1 - %e
(%i2) ilt(1/s,s,t);
(%o2)                                  1
(%i3) ilt( 3/(s^2+8s+18), s,t);

rat: replaced 8.0E+18 by 8000000000000000000/1 = 8.0E+18
                                           21/2
                            3 sin(1953125 2     t)
(%o3)                       ----------------------
                                         21/2
                                1953125 2
(%i4) ilt( 1/(s+a),s,t);
                                      - a t
(%o4)                               %e
(%i5) ilt( 1/s,s,t);
(%o5)                                  1
(%i6) 
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