Math 3F03 Kritik Assignment # 4 Creation Phase. Solve the following problems. Write very neatly your solution on paper, and scan the solution with your phone (use the Dropbox app rather than just a photo) and upload to your Kritik account. This step is due by 11:00pm on Tuesday November 3rd. Consider the family of 2D linear system of ODE's coming from the harmonic oscillation equation 3:\" + bx' + km 2 0 with b 2 0,1: > 0, namely consider the 2D system: 01 k (A) Draw a plane with horizontal axis 1) and vertical axis 1': and identify the appropriate regions in the (rst quadrant of the) bio-plane where the system has similar phase portraits. 53:103., whereA=( )withb20,k>0 (B) Consider the one parameter family of linear systems coming from x\" + 4m' + km 2 0 with k > 0. Draw the curve representing this family in the bitplane and nd the value of k at which a bifurcation occurs. Discuss the changes that occur to the phase portraits as k goes through this bifurcation value. (C) Draw the phase portraits for k at the bifurcation value and for k = 8