Photo Jacobian

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.

Photo Jacobian

Enter your valid inputs then click to display results.

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.

Photo Jacobian

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.