**Introduction**

This program plots the slope field for the differential equation in the
form .

If you have not used one of the programs posted on this website before,
you should read through
the information in the Intro to Programming
section first.

**The Program **

'SLOPEFIELD' | {' is in ALPHA} {This is the name of the program} |

Cls | {Cls is in SHIFT} |

7 (Xmax-Xmin) 83 H | {Xmin, Xmax are in VAR under RNG} { is on the , button} |

7 (Ymax-Ymin) 55 K | {Ymin, Ymax are in VAR under RNG} |

1 (0.4H)^2 E | { is the times sign} |

1 (0.4K)^2 F | |

Xmin + 0.5H X | |

Ymin + 0.5K Z | |

12L | |

Lbl 1 | {Lbl is in PRGM under JMP} |

8J | |

ZY | |

Lbl 2 | |

Y1T | {Y1 is in VAR under GPH, then followed by a 1} |

1 (E+F T^2) G | { is square root} |

T G S | |

Plot X-G, Y-S | {Plot is in SHIFT} |

Plot X+G, Y+S | |

Line | {Line is in SHIFT} |

Y+KY | |

Dsz J | {Dsz is in PRGM under JMP} |

Goto 2 | {Goto is in PRGM under JMP} |

X+HX | |

Dsz L | |

Goto 1 |

**Running the Program**

You will need to enter a function *f*(*x,y*) into
Y1 and adjust the RANGE accordingly
before running the program. To view the field after it is plotted use the
GT button.