資源描述：
《2.9-terminology-and-notation》由會員上傳分享，免費(fèi)在線閱讀，更多相關(guān)內(nèi)容在教育資源-天天文庫。
1、Members:于隆照、黃站洋、趙錦昱、邢棟IntroductiontoDifferentialEquations——TerminologyandnotationNewWords&Expressions:approximateevaluation[??pr?ksimit??v?lj??e???n]近似估計astronomy[?'str?n?mi]n.天文學(xué)differentialequation[.d?f?'ren?(?)l][?'kwe??(?)n]微分方程ordinarydifferentialequation常微分方程pa
2、rtialdifferentialequation偏微分方程Bernoulli(人名)[b?:?nu:li]伯努利theBernoullis伯努利家族[的數(shù)學(xué)家們]disintegrate[d?s'?nt?.ɡre?t]v.解體，衰變（雅各布-伯努利）NewWords&Expressions:differentiable[?dif??ren?i?bl]adj.可微的displacement[d?s'ple?sm?nt]n.位移exponential[.eksp?'nen?(?)l]adj.指數(shù)的exponentialfuncti
3、on指數(shù)函數(shù)initial[?'n??(?)l]adj.初始的initialcondition初始條件initialvalueproblem初值問題integrate['?nt?.ɡre?t]v.對……積分NewWords&Expressions:logarithm['l?ɡ?r?e(?)m]n.對數(shù)logarithm/logarithmicfunction對數(shù)函數(shù)mathematicalphysics[?m?θi?m?tik?l?fiziks]數(shù)學(xué)物理mechanics[m?'k?n?ks]n.力學(xué)nature['ne?t??
4、(r)]n.性質(zhì)，自然polynomial[.p?li'n??mi?l]n.多項(xiàng)式rationalfunction[?r???nl?f??k??n]有理函數(shù)terminology[.t??(r)m?'n?l?d?i]n.術(shù)語NewWords&Expressions:trigonometricfunction[trig?n?'metrik]三角函數(shù)inversetrigonometricfunction[?n?v?:s]反三角函數(shù)Differentialequtioninitialvalueproblem初值問題[?'n??(?)
5、l]initialcondition初始條件boundarycondition邊界條件Functions初等函數(shù)：elementaryfunction[?eli?ment?ri]冪函數(shù)：powerfunction指數(shù)函數(shù)：exponentialfunction[.eksp?'nen?(?)l]對數(shù)函數(shù)logarithm/logarithmicfunction['l?ɡ?r?e(?)m]三角函數(shù)：trigonometricfunction[trig?n?'metrik]反三角函數(shù):inversetrigonometricfunct
6、ion[?n?v?:s]有理函數(shù):rationalfunction['r??(?)n?l]Whenweworkwithadifferentialequationsuchas(9.1),itiscustomarytowriteinplaceof,andinplaceofthehigherderivativesbeingdenotedbyetc.當(dāng)我們處理或計算一個像的微分方程時，我們通常將記作，記作，并將更高階導(dǎo)數(shù)表示為，等等。Ofcourse,otherletterssuchas,etc.arealsousedinsteadof
7、.Bytheorderofanequationismeanttheorderofthehighestderivativewhichappears.當(dāng)然，也可以用像等其他字母來代替.ByAismeantB.A的含義為B;A即B;A指的是B。方程的階指的是出現(xiàn)在其中的最高階導(dǎo)數(shù)的階數(shù)。Forexample,(9.1)isafirst-orderequationwhichmaybewrittenas.Thedifferentialequationisoneofsecondorder.例如，（9.1）是一個可寫為的一階微分方程，而則是一
8、個二階微分方程。Inthischapterweshallbeginourstudywithfirst-orderequationswhichcanbesolvedforandwrittenasfollows：（9.2）=,wheretheexpressionon
