1. Use the method of Characteristic Equation to solve the initial value ODE: y*-2y+y=0 Inquisitive minds may want to use a graphing tool such as Desmos to plot the solution. b. Use the method of Characteristic Equation to solve the initial value ODE: y*-4y+3y=0 Inquisitive minds may want to use a graphing tool such as Desmos to plot the solution c. Use the method of Characteristic Equation to solve the ODE: 4y"+4y+17y=0 d. Turn in Problem 14, Problem Set 7: -9y*+20y=0 fy(0)=1 Ly(0)=-2 fy(0)=1 \y(0)=1/3 e. Turn in Problem 11, Set 12: For a damped-system where m=1kg ,k=64N/m. Initially, the mass position is x=1m and its velocity is x'=0m/s. Determine the solution when the damping constant c=10 N/m Determine the solution when the damping constant c=16 N/m Determine the solution when the damping constant c = 20 N/m Use Desmos (or a graphing tool of your choice) to graph the responses of the system to about 1.5 seconds. Equilibrium position