Solution of a system of Ordinary Differencial Equations using Multivariate Newton Raphson Method

Objective: Objective: To solve a system of equations using Newton Raphson Method Equations: `(dy_1)/(dt)=-0.04y_1+10^4y_2y_3` `(dy_2)/(dt)=0.04y_1-10^4y_2y_3-3 xx10^7y_2^2` `(dy_3)/(dt)=3xx10^7y_2^2` Method: The system of equations is a stiff system which means that of a large timestep is taken, the system can become unstable…