primitivesetequadif.py

Created by mbtp07

Created on April 13, 2022

594 Bytes

a -> ax+k
x^n -> (1/n+1)x^n+1 + k
1/sqrt(x) -> 2sqrt(x) + k
e^x -> e^x + k
1/x -> ln(x) + k
sin(x) -> -cos(x) + k
cos(x) -> sin(x) + k

u'+v' -> u + v
a*u' -> a*u
u'u^n -> (u^n+1)/n+1
u'/u^2 -> -1/u
u'/2sqrt(u) -> sqrt(u)
u'/u -> ln(u)
u'eû -> eû

Pour résoudre equa diff forme y'=ay
résoudre y'=
ensemble x = Ke^y'x
si k positif alors au dessus axe abysses
pour trouver K on remplace x et = ? 
on remet sous la forme Ke

Pour résoudre y'=ay+b
On résout la solution constante en mettant y'=0
ou -b/a
x avec Ke(exp)ax - b/a
on résout K et on remet sous la forme

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