Question: Use convolution to obtain a formula for the solution to the IVP where theg(t)is piecewise continuous on [0,) and of exponential order.y+16y=g(t);y(0)=5,y(0)=0Group of answer choicesy(t)=5cos(4t)+150tsin[4(tv)]g(v)dvy(t)=5sin(4t)+40tcos[4(tv)]g(v)dvy(t)=5sin(4t)+140tcos[4(tv)]g(v)dvy(t)=5cos(4t)+140tsin[4(tv)]g(v)dv

Use convolution to obtain a formula for the solution to the IVP where theg(t)is piecewise continuous on [0,) and of exponential order.y+16y=g(t);y(0)=5,y(0)=0Group of answer choicesy(t)=5cos(4t)+150tsin[4(tv)]g(v)dvy(t)=5sin(4t)+40tcos[4(tv)]g(v)dvy(t)=5sin(4t)+140tcos[4(tv)]g(v)dvy(t)=5cos(4t)+140tsin[4(tv)]g(v)dv

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