Question

Given the second order initial value problem y′′−3y′=12δ(t−2),  y(0)=0,  y′(0)=3y″−3y′=12δ(t−2),  y(0)=0,  y′(0)=3Let Y(s)Y(s) denote the Laplace transform of yy. Then...

Given the second order initial value problem y′′−3y′=12δ(t−2),  y(0)=0,  y′(0)=3y″−3y′=12δ(t−2),  y(0)=0,  y′(0)=3Let Y(s)Y(s) denote the Laplace transform of yy. Then

Y(s)=Y(s)=  .

Taking the inverse Laplace transform we obtain

y(t)=

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