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InTheMag/DrawBasic/!DrawBasic/Info/Commands/Calculus/ODEs

This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.

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Filename: InTheMag/DrawBasic/!DrawBasic/Info/Commands/Calculus/ODEs
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Calculus.ODEs :
==============

  Ordinary differential equations are discussed in Chapter 9 of the DrawBasic
  book.
  
 -----------------------------------------------------------------------------
  � ORDINARY DIFFERENTIAL EQUATIONS  (pages 89-92)
    -------------------------------                            
 �GraphODE(f$,x,y,n%)   �@GraphODE(f$,x,y,n%)         �GraphODE(f$,x,y,n%) 
   �Runge_Kutta(f$,x,y,h)      
   �Runge_KuttaStep(f$,X,Y,h)  
 -----------------------------------------------------------------------------
00000000  43 61 6c 63 75 6c 75 73  2e 4f 44 45 73 20 3a 0a  |Calculus.ODEs :.|
00000010  3d 3d 3d 3d 3d 3d 3d 3d  3d 3d 3d 3d 3d 3d 0a 0a  |==============..|
00000020  20 20 4f 72 64 69 6e 61  72 79 20 64 69 66 66 65  |  Ordinary diffe|
00000030  72 65 6e 74 69 61 6c 20  65 71 75 61 74 69 6f 6e  |rential equation|
00000040  73 20 61 72 65 20 64 69  73 63 75 73 73 65 64 20  |s are discussed |
00000050  69 6e 20 43 68 61 70 74  65 72 20 39 20 6f 66 20  |in Chapter 9 of |
00000060  74 68 65 20 44 72 61 77  42 61 73 69 63 0a 20 20  |the DrawBasic.  |
00000070  62 6f 6f 6b 2e 0a 20 20  0a 20 2d 2d 2d 2d 2d 2d  |book..  . ------|
00000080  2d 2d 2d 2d 2d 2d 2d 2d  2d 2d 2d 2d 2d 2d 2d 2d  |----------------|
*
000000c0  2d 2d 2d 2d 2d 2d 2d 0a  20 20 8f 20 4f 52 44 49  |-------.  . ORDI|
000000d0  4e 41 52 59 20 44 49 46  46 45 52 45 4e 54 49 41  |NARY DIFFERENTIA|
000000e0  4c 20 45 51 55 41 54 49  4f 4e 53 20 20 28 70 61  |L EQUATIONS  (pa|
000000f0  67 65 73 20 38 39 2d 39  32 29 0a 20 20 20 20 2d  |ges 89-92).    -|
00000100  2d 2d 2d 2d 2d 2d 2d 2d  2d 2d 2d 2d 2d 2d 2d 2d  |----------------|
00000110  2d 2d 2d 2d 2d 2d 2d 2d  2d 2d 2d 2d 2d 2d 20 20  |--------------  |
00000120  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00000130  20 20 20 20 20 20 20 20  20 20 0a 20 b7 47 72 61  |          . .Gra|
00000140  70 68 4f 44 45 28 66 24  2c 78 2c 79 2c 6e 25 29  |phODE(f$,x,y,n%)|
00000150  20 20 20 b7 40 47 72 61  70 68 4f 44 45 28 66 24  |   .@GraphODE(f$|
00000160  2c 78 2c 79 2c 6e 25 29  20 20 20 20 20 20 20 20  |,x,y,n%)        |
00000170  20 bb 47 72 61 70 68 4f  44 45 28 66 24 2c 78 2c  | .GraphODE(f$,x,|
00000180  79 2c 6e 25 29 20 0a 20  20 20 bb 52 75 6e 67 65  |y,n%) .   .Runge|
00000190  5f 4b 75 74 74 61 28 66  24 2c 78 2c 79 2c 68 29  |_Kutta(f$,x,y,h)|
000001a0  20 20 20 20 20 20 0a 20  20 20 bb 52 75 6e 67 65  |      .   .Runge|
000001b0  5f 4b 75 74 74 61 53 74  65 70 28 66 24 2c 58 2c  |_KuttaStep(f$,X,|
000001c0  59 2c 68 29 20 20 0a 20  2d 2d 2d 2d 2d 2d 2d 2d  |Y,h)  . --------|
000001d0  2d 2d 2d 2d 2d 2d 2d 2d  2d 2d 2d 2d 2d 2d 2d 2d  |----------------|
*
00000210  2d 2d 2d 2d 2d                                    |-----|
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