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

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