Question: Consider the following initial-value problem.y''4y = e2x, y(0)=1, y'(0)=4Find the general solution of the associated homogenous differential equation.yh(x)=C1e2x+C2e2xDetermine Green's function for the given differential equation.G(x,

Consider the following initial-value problem.y''4y = e2x, y(0)=1, y'(0)=4Find the general solution of the associated homogenous differential equation.yh(x)=C1e2x+C2e2xDetermine Green's function for the given differential equation.G(x, t)=Proceed as in Example 5 to find a solution of the given initial-value problem.y(x)=e2xe2x+14(e2x2e2x+1)

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