Problem 1: Linear ODE In the template, the ode used is dtdx=2x100 And in the code, the initial condition (x0) is set at 100 , and the plot shows X increases overtime. Now the question a) Plot the results with a few different initial conditions (expected submission: pdf file of the figures, figure caption or legends should specify the initial condition used) 1. You can generate several plots onto one figure, this way you only need one pdf file. 2. Use appropriate line width and font size to make the pdf easier to read 3. This is meant to force you to know more figure control to make nice looking plots 4. It is recommended to also plot out the steady state value as dashed line with different color, just like what we sketched out in class. b) Sketch out a plot of x VS x, and explain the results you see in (a) (expected submission: picture of handwritten sketch and explanation on a piece of paper