**Systems of ODEs: Explicit Euler**

This app uses the **explicit Euler** IVP method to numerically approximate the solution of a system of ordinary differential equations

\(\qquad \dfrac{\mathrm{d} x_{1}}{\mathrm{d} t} = f_{1}'(t, y) \)

\(\qquad \dfrac{\mathrm{d} x_{2}}{\mathrm{d} t} = f_{2}'(t, y) \)

\(\qquad\qquad \vdots\)

\(\qquad \dfrac{\mathrm{d} x_{n}}{\mathrm{d} t} = f_{n}'(t, y) \)

with \( a \leq t \leq b, \quad x_{1}(a) = \alpha_{1}, x_{2}(a) = \alpha_{2}, \cdots, x_{n}(a) = \alpha_{n}.\)

and plots the results on a graph for visualization purposes.

Label | Description / Your input | |
---|---|---|

1 | A system of \(n\) ODE equations. | |

2 | Start and end time points respectively. | |

3 | Value of dependent variable at time zero, \(y_{0} = y(t_{0})\). | |

4 | Either the number of steps, \(n\) specified as an integer or the step-size, \(h\) where \(t_{0} < h < t_{f}\). | |

5 | Initial value problem method to be used to solve the systems ODE equations numerically. | |

6 | Number of iterations to display. | |

7 | Decimal points to display (does not affect internal precision). | |

**Systems of ODEs: Explicit Euler**

Enter your valid inputs then click

**Systems of ODEs: Explicit Euler**

Enter your valid inputs then click

**Data Science and Analytics Course**

Earn a certificate as you complete this course covering the foundational data science and analytics workflow. Whether you're just starting out or are already a seasoned programmer, you'll significantly improve your coding skills in the Python (or R) programming language, data science and analytics. Read more ...

Software | Python / R Languages |

Delivery | 100% online through zoom |

Duration | 10 days (7 hours a day) |

Charges | $725 Inclusive of VAT |

**Dates:** First 2 Weeks of every month

**Time:** 5:30am - 2:00pm (Mon - Fri) GMT

**Teach Mathematics with our Web Apps**

Our apps are tested, trusted and embraced by thousands of students, lecturers and professionals globally to improve their learning experience in **STEM**.