Use the Laplace transform to solve the following initial value problem: x″+10x′=0, x(0)=−1, x′(0)=−3. First, take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation and then solve for L{x(t)}. Decompose L{x(t)} into its partial fraction decomposition: L{x(t)}=A/(s+a) + B/(s+b), where a<b Now take the inverse Laplace transform of both sides of the previous equation and solve for x(t).

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