A non-linear system is governed by the following differential equation dx dt +x=u; x(0) 0.1; u=1 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.