premier.py

Created by ian-curien

Created on November 23, 2023

555 Bytes


sous la forme la
ay' + by = c(t)

equation diff 1 ordre dite sans
second membre si c(t) =0.

solution generale de equation 
y(t) =c *e('b/") 
est une constante quelconque

avec second membre
f(t)=y(t) +g(t)

On appelle equation diff second
ordre equation de forme
ay" + by'+cy = d(t)

calcule le discriminant 
delta=b^2-4a*c 

Si delta>0 equation caracteristique 
admet deux solutions 
r1=(-b-racinedelta)/2a
r2=pareil

La solution generale 
de equation (E0) est 
y(t) = Aerlt+ Ber2t 

si equation done solution reel double
y(t)=(At+B)ert

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