Multivariate Newton-Raphson Solver

Objective: Objective: Solve the given system of coupled non-linear equation using Multivariate Newton Raphson method(using Implicit Euler Method/Backward Differencing). `dy_1/(dt) = -0.04y_1 + 10^4y_2y_3` `dy_2/(dt) = 0.04y_1 - 10^4y_2y_3-3*10^7y_2^2` `dy_3/(dt) = 3*10^7y_2^2` -----------------------------------------------------------------------------------------------------------------------------------…