1. Use the method of Characteristic Equation to solve the initial value ODE: y*-2y+y=0 Inquisitive minds...

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1. Use the method of Characteristic Equation to solve the initial value ODE: y*-2y¹+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*-4y¹+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"+4y¹+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 1. Use the method of Characteristic Equation to solve the initial value ODE: y*-2y¹+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*-4y¹+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"+4y¹+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