A non-linear system is governed by the following

Last updated: 7/4/2022

A non-linear system is governed by the following differential equation dx +x²u; x(0) 0.1; u = 1 dt a. (5) Solve the diff-eq numerically and plot the response b. (5) Linearize the diff-eq about u=1. Write down the diff-eq c. (5) Plot the numerical solution of linearized differential equation. d. (5) Solve the diff-eq analytically (variable separable) for u=1.