4. a) Write the characteristic equation for 2 nd order linear homogeneous differential equation $y^{''} + 4 y^{'} + 3 y = 0$ b) Solve the characteristic equation using the quadratic formula. c) Determine the solution. d) What is the solution if there are initial conditions $y^{'} (0) = 0 y (0) = 2$ e) Check your answers/solutions with software.

Question

4. a) Write the characteristic equation for 2 nd order linear homogeneous differential equation

y^{''} + 4 y^{'} + 3 y = 0

b) Solve the characteristic equation using the quadratic formula. c) Determine the solution. d) What is the solution if there are initial conditions

y^{'} (0) = 0 y (0) = 2

e) Check your answers/solutions with software.

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(Solved): 4. a) Write the characteristic equation for 2 nd order linear homogeneous differential equation y ...