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ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ PowerPoint PPT Presentation


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ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ. Μελέτη Δ.Ε. με χρήση του Mathematica. Εισαγωγή. Η επίλυση ΔΕ με Mathematica γίνεται απευθείας με τις εντολές DSolve : επίλυση με συμβολικό τρόπο NSolve : αριθμητική (προσεγγιστική) επίλυση. Εισαγωγή. Και οι δυο εντολές δέχονται

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ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ

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3052894

..

Mathematica


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Mathematica

  • DSolve :

  • NSolve : ()


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  • , .


Dsolve

DSolve


Symbolic solution

(symbolic solution)

  • :

  • eqn=y[t] ==

  • DSolve[eqn,y[t],t]

    eqn

    y[t]

    t


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0 =

  • eqn=y'[t] ==r y[t](M-y[t])

  • DSolve[eqn,y[t],t]


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  • C[1] c

  • :


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eqn=y[t] ==

con=

  • DSolve[{eqn,con},y[t],t]

y


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  • Mathematica


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-1<<1


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  • Mathematica


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-2,-1,0,1 2 ( )


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  • , :


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Evaluate

Evaluate 5 Plot


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  • 10 y -5<y<0


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PlotRange

PlotRange y


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  • DSolve .


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  • -2,-1,0,1,2


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PlotStyle

RGBColor

PlotStyle

H RGBColor


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