This page evaluates the **Jacobian** of a system of non-linear equation (linearization). That is,

\(\qquad J = \displaystyle \left[\begin{matrix} \dfrac{\partial f_{1}}{\partial x_{1}} & \dfrac{\partial f_{1}}{\partial x_{2}} & \cdots & \dfrac{\partial f_{1}}{\partial x_{n}} \\ \dfrac{\partial f_{2}}{\partial x_{1}} & \dfrac{\partial f_{2}}{\partial x_{2}} & \cdots & \dfrac{\partial f_{2}}{\partial x_{n}} \\ \vdots & \vdots & \ddots & \vdots \\ \dfrac{\partial f_{m}}{\partial x_{1}} & \dfrac{\partial f_{m}}{\partial x_{2}} & \cdots & \dfrac{\partial f_{m}}{\partial x_{n}} \\ \end{matrix}\right]\).

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

1 | The \(n\) equations of the system. | |

2 | Dependent variables. | |

3 | Whether or not to find the equilibrium points and substitute them in the Jacobian matrix. | |

Enter your valid inputs then click

Enter your valid inputs then click

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