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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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..

Mathematica


Mathematica

  • DSolve :

  • NSolve : ()


  • , .


DSolve


(symbolic solution)

  • :

  • eqn=y[t] ==

  • DSolve[eqn,y[t],t]

    eqn

    y[t]

    t


0 =

  • eqn=y'[t] ==r y[t](M-y[t])

  • DSolve[eqn,y[t],t]


  • C[1] c

  • :


eqn=y[t] ==

con=

  • DSolve[{eqn,con},y[t],t]

y




  • Mathematica



-1<<1


  • Mathematica



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


  • , :


Evaluate

Evaluate 5 Plot


  • 10 y -5<y<0



PlotRange

PlotRange y


  • DSolve .


  • -2,-1,0,1,2



PlotStyle

RGBColor

PlotStyle

H RGBColor


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