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 to display results.

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Enter your valid inputs then click to display Python syntax.

Our applications use latest technologies to bring computational power to the web, and are the result of 10+ years of lecturing, training, research, programming and development.