Question: Each of Problems 43 through 48 gives a general solution y(x) of a homogeneous second-order differential equation ay'' + by' + cy = 0 with

Each of Problems 43 through 48 gives a general solution y(x) of a homogeneous second-order differential equation ay'' + by' + cy = 0 with constant coefficients. Find such an equation.

y(x) = ex (cex + + ce-x2)

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