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Consider the following initial value problem: y′′+49y={2t,0≤t≤7 14, t>7 y(0)=0,y′(0)=0 Using Y for the Laplace transform...

Consider the following initial value problem: y′′+49y={2t,0≤t≤7 14, t>7 y(0)=0,y′(0)=0 Using Y for the Laplace transform of y(t), i.e., Y=L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for Y(s)=

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