Question: answer quickly for thumbs up 8. A second-order ordinary differential equation is shown below: dt2d2x(t)+2dtdx(t)+2x(t)=1x(0)=2(dtdx)t=0=0 a) Find the roots of the characteristic equation. b) Is

answer quickly for thumbs up answer quickly for thumbs up 8. A second-order ordinary differential equation

8. A second-order ordinary differential equation is shown below: dt2d2x(t)+2dtdx(t)+2x(t)=1x(0)=2(dtdx)t=0=0 a) Find the roots of the characteristic equation. b) Is this a stable or unstable system? Explain. c) Determine the complementary solution, the particular solution, and the total solution

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