ex4.py

Created on February 16, 2021

338 Bytes

# Type your text heree
ex148

1.Soit  u une fonction affine telle
que u(x)=ax+b.Alors u'(x)+2u(x)=4x-3
équivaut a+2(ax+b)=4x-3,qui équivaut
2ax+(a+2b)=4x-3 pour tout réel
x soit 2a=4 et a+2b=3.
D'ou a=2 et b=-5/2
f(x)=2x-5/2
2.y=Cexp(-2x)+2x-5/2 ou C reel
3.y(1)=0 soit Cexp(-2)-1/2=0
C=1/2exp(2)
ainsi y=1/2exp(2-2x)+2x-5/2

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