Page 312 - 1300 Math Formulas

CHAPTER 10. DIFFERENTIAL EQUATIONS

ïÜÉêÉ=f=áë=íÜÉ=ÅìêêÉåí=áå=~å=oi`=ÅáêÅìáí=ïáíÜ=~å=~Å=îçäí~ÖÉ=
ëçìêÅÉ= () bís = M ëáå ( ) íω K===
=
qÜÉ=ÖÉåÉê~ä=ëçäìíáçå=áë==
^
()= `í f N É í ê N + ` O É ê O í + ëáå (ωí − ) ϕ I=
ïÜÉêÉ==
− o ± o − Q i
O
ê = ` I==
O I N
O i
ω b
^ = M I==
 O N  O O O
 iω −  + o ω
 ` 
 ω N 
i
ϕ = ~êÅí~å  −  I==
 o o` ω 
`I=` =~êÉ=Åçåëí~åíë=ÇÉéÉåÇáåÖ=çå=áåáíá~ä=ÅçåÇáíáçåëK=
N
O
=
=
=
10.3. Some Partial Differential Equations

=
1181. qÜÉ=i~éä~ÅÉ=bèì~íáçå=
∂ O ì + ∂ O ì = M=
ñ ∂ O ó ∂ O
~ééäáÉë=íç=éçíÉåíá~ä=ÉåÉêÖó=ÑìåÅíáçå= ( óIñì )==Ñçê==~==ÅçåëÉê-
î~íáîÉ=ÑçêÅÉ=ÑáÉäÇ=áå=íÜÉ=ñó-éä~åÉK=m~êíá~ä=ÇáÑÑÉêÉåíá~ä=Éèì~-
íáçåë=çÑ=íÜáë=íóéÉ=~êÉ=Å~ääÉÇ=ÉääáéíáÅK==
=
1182. qÜÉ=eÉ~í=bèì~íáçå=
∂ O ì + ∂ O ì = ∂ ì
ñ ∂ O ó ∂ O í ∂ =

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