Video: Puas yog txhua qhov sib npaug sib npaug sib npaug?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Kev txiav txim thawj zaug kev sib npaug sib txawv yog meej yog tias nws muaj kev txuag kom muaj nuj nqis. Piv txwv li, sib cais yog ib txwm meej , vim los ntawm kev txhais lawv yog ntawm daim ntawv: M(y) y + N(t) = 0, yog li ϕ(t, y) = A(y) + B(t) yog ib qho kev txuag ntau.
Tsis tas li ntawd, puas yog qhov sib npaug sib npaug sib cais?
Separable Equations . Thawj qhov kev txiav txim kev sib npaug sib txawv y' = f(x, y) hu ua a sib cais Yog tias qhov kev ua haujlwm f(x, y) tuaj yeem ua rau qhov khoom ntawm ob txoj haujlwm ntawm x thiab y: f(x, y) = p (x) h(y), qhov twg p(x) thiab h(y) yog ua haujlwm tas mus li.
Tsis tas li ntawd, koj puas koom ua ke dy dx xy? Kauj Ruam 1 Cais cov kev hloov pauv los ntawm kev txav tag nrho cov ntsiab lus y mus rau ib sab ntawm kab zauv thiab tag nrho cov ntsiab lus x mus rau sab nraud:
- Muab ob sab los ntawm dx:dy = (1/y) dx. Muab ob sab los ntawm y: y dy = dx.
- Muab lub cim kos npe rau pem hauv ntej:∫ y dy = ∫ dx. Integrate txhua sab: (y2)/2 = x + C.
- Muab ob sab los ntawm 2: y2 = 2 (x + C)
Ua li no, thaum twg ib qho kev sib npaug sib txawv yog qhov tseeb?
Qhov muab kev sib npaug yog qhov tseeb vim cov derivatives ib nrab yog tib yam: ∂Q∂x=∂∂x(x2+3y2)=2x, ∂P∂y=∂∂y(2xy)=2x.
dy dx txhais li cas?
Los ntawm d / dx peb txhais tau tias muaj kev ua haujlwm sib txawv; d/dx ntawm ib yam dab tsi txhais tau hais tias "ib yam dab tsi" yuav tsum sib txawv ntawm kev hwm x. ua/dx txhais tau tias "differentiate y nrog hwm x" as ua/dx txhais tau tias tib yam li d/dx(y).
Pom zoo:
Yuav daws qhov tsis sib npaug ntawm cov kab sib npaug thiab cov kab sib npaug sib npaug li cas?
Kev daws qhov tsis sib npaug ntawm qhov sib npaug yog zoo ib yam li kev daws cov kab sib npaug. Qhov sib txawv tseem ceeb yog koj tig lub cim tsis sib xws thaum faib lossis muab faib los ntawm tus lej tsis zoo. Graphing linear inequalities muaj ob peb qhov sib txawv ntxiv. Qhov uas yog qhov ntxoov ntxoo muaj xws li qhov tseem ceeb uas qhov kev tsis sib xws ntawm cov kab tawm muaj tseeb
Dab tsi yog qhov txawv ntawm qhov sib txawv ntawm qhov sib txawv thiab qhov sib txawv ntawm qhov ntab?
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Hauv daim vis dis aus no peb yuav sib npaug ntawm qhov sib npaug KOH + H2SO4 = K2SO4 + H2O thiab muab cov coefficients raug rau txhua qhov sib xyaw. Txhawm rau sib npaug KOH + H2SO4 = K2SO4 + H2O koj yuav tsum nco ntsoov suav tag nrho cov atoms ntawm txhua sab ntawm cov tshuaj sib npaug
Puas yog nws ua tau rau ib qho kev sib npaug ntawm ob txoj kab sib npaug kom tsis muaj kev daws teeb meem piav qhia koj qhov laj thawj?
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Dab tsi yog qhov sib txawv ntawm cov kab lus sib npaug thiab qhov sib npaug sib npaug?
Cov kab lus sib npaug muaj qhov muaj txiaj ntsig zoo ib yam tab sis tau nthuav tawm nyob rau hauv ib hom ntawv sib txawv uas siv cov khoom ntawm cov lej xws li ax + bx = (a + b) x yog cov kab lus sib npaug. nruj me ntsis, lawv tsis yog 'sib npaug', yog li peb yuav tsum siv 3 kab sib luag hauv 'sib npaug' es tsis yog 2 raws li qhia ntawm no