Mathc initiation/a549

Sommaire

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	c00a.c

/* --------------------------------- */
/* save as c00a.c                    */
/* --------------------------------- */
#include "x_afile.h"
#include      "fb.h"                 /* Try  fb.h, fc.h ... fj.h */
/* --------------------------------- */
int main(void)
{
 clrscrn();  
 printf(" The Laplace transform of F(t) is f(s) \n\n" 
        "            / oo                         \n" 
        "           |                             \n" 
        " L{F(t)} = |    exp(-s t) F(t) dt = f(s) \n" 
        "           |                             \n" 
        "           /  0                      \n\n\n");
 
 
 printf(" Second translation  property of the Laplace transform is :\n\n"
        "   L{F(t-a)} = exp(-a s) f(s)  : if t > a  : 0  if t < a   \n\n");
 stop();
 
 clrscrn(); 
 printf(" If  F(t) : t-> %s  then  f(s) = %s\n\n", Feq, feq);  
 
 printf(" Then :\n\n"
        "            L{F(t-a)} = exp(-a s) f(s)\n"
        "                      = %s   \n"
        "                      = %s   \n\n", f_seq,f2seq);

 printf(" With  s = (%+.3f) and  a = %+.3f\n\n", s, aa);
 
 printf(" Then  exp(-a s) f(s) = %s = (%+.3f)\n\n", f2seq, f_s(s)); 
 
 stop();
 
 return 0;
}
/* --------------------------------- */
/* --------------------------------- */

Exemple de sortie écran :

 The Laplace transform of F(t) is f(s) 

            / oo                         
           |                             
 L{F(t)} = |    exp(-s t) F(t) dt = f(s) 
           |                             
           /  0                      


 Second translation  property of the Laplace transform is :

   L{F(t-a)} = exp(-a s) f(s)  : if t > a  : 0  if t < a   

 Press return to continue.

Exemple de sortie écran :

 If  F(t) : t-> t  then  f(s) = (1/s^2)

 Then :

            L{F(t-a)} = exp(-a s) f(s)
                      = exp(-a s) (1/s^2)   
                      = exp(-a s)/s^2   

 With  s = (+0.600) and  a = +0.300

 Then  exp(-a s) f(s) = exp(-a s)/s^2 = (+2.320)

 Press return to continue.