Verify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate interval I of definition for each solution. d²y dx² d²y dx² = 6.dy dx When y = c₁e³x + ₂xe³x, dy dx Thus, in terms of x, d²y dy dx² dx + 9y = 0; + 9y = y = c₂e³x + ₂x³x + 9(c₁e³ + c,xe3x)

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