(2) If x(t) satisfies the initial value problem +2px' + (p2+1)=6(t-2), then show that x(0) =...

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(2) If x(t) satisfies the initial value problem "+2px' + (p2+1)=6(t-2), then show that x(0) = 0, '(0) = 10- x(t) = (vo+eu(t - 2))e sint. Here & denotes the Dirac delta function and u denotes the Heaviside step function as in the textbook. [6 points] (2) If x(t) satisfies the initial value problem "+2px' + (p2+1)=6(t-2), then show that x(0) = 0, '(0) = 10- x(t) = (vo+eu(t - 2))e sint. Here & denotes the Dirac delta function and u denotes the Heaviside step function as in the textbook. [6 points]