yay.py

Created on January 20, 2022

350 Bytes

from maths import *

Soit (E0) : y'=ay
On suppose que VxCR, y(x)/=0
y'=ay =>y/y'=a 
      => ln(y)=ax+c avec c C R
      => y=a^ax+c car x-> e^x 
      stt croissant sur R 
      => y=e^(c)e^(ax) on pose 
      ln=e^(c)
      =>y=lne^(ax)
      
Réciproquement 
si y=lne^(ax)
y'=aln^(ax)=ay

CCL : les solutions trouvées 
sont valides

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