CHAPTER 10. DIFFERENTIAL EQUATIONS^ÅÅÉäÉê~íáçå=çÑ=Öê~îáíóW=Ö=
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fåÇìÅí~åÅÉW=i=
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=10.1 First Order Ordinary Differential
Equations
=
- iáåÉ~ê=bèì~íáçåë=
é() ()ñó èñ
ÇñÇó
+ = K===
qÜÉ=ÖÉåÉê~ä=ëçäìíáçå=áë==
()()
ì()ñìñèñÇñ `
ó+
=
∫
I==
ïÜÉêÉ==ìK=(ñ)()=Éñé(∫éñÇñ)
=
- pÉé~ê~ÄäÉ=bèì~íáçåë=
Ñ()()()ñIó ÖñÜó
ÇñÇó
= = ==
qÜÉ=ÖÉåÉê~ä=ëçäìíáçå=áë=ÖáîÉå=Äó=()
Ö()ñÇñ `
ÜóÇó∫ =∫ + I==
çê=
e() ()ó =dñ +`K=
=
=
=