Use the convolution theorem to obtain a formula for the solution to the given initial value, where g(t) is piecewise continuous on [0,?) and of exponential order. y??+4y=g(t);y(0)=3,y?(0)=0 y(t)=2cos(2t)+21??0t?sin[3(t?v)]g(v)dv y(t)=3cos(2t)+2?0t?sin[21?(t?v)]g(v)dv y(t)=3cos(2t)+21??0t?sin[2(t?v)]g(v)dv y(t)=2cos(2t)+2?0t?sin[3(t?v)]g(v)dv

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