1300 Math Formulas

(Dana P.) #1
CHAPTER 10. DIFFERENTIAL EQUATIONS

^ÅÅÉäÉê~íáçå=çÑ=Öê~îáíóW=Ö=
`ìêêÉåíW=f=
oÉëáëí~åÅÉW=o=
fåÇìÅí~åÅÉW=i=
`~é~Åáí~åÅÉW=`=
=
=

10.1 First Order Ordinary Differential


Equations


=



  1. iáåÉ~ê=bèì~íáçåë=


é() ()ñó èñ
Çñ

Çó
+ = K==

=
qÜÉ=ÖÉåÉê~ä=ëçäìíáçå=áë==
()()
ì()ñ

ìñèñÇñ `
ó

+


=



I==


ïÜÉêÉ==

ìK=(ñ)()=Éñé(∫éñÇñ)


=



  1. pÉé~ê~ÄäÉ=bèì~íáçåë=


Ñ()()()ñIó ÖñÜó
Çñ

Çó
= = =

=
qÜÉ=ÖÉåÉê~ä=ëçäìíáçå=áë=ÖáîÉå=Äó=

()


Ö()ñÇñ `
Üó

Çó

∫ =∫ + I==


çê=
e() ()ó =dñ +`K=
=
=
=
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