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 When y = dy dx d²y dx² = = Cyxe3x, (3c₁ + €₂) e³r x + 3x-c₂e³x 3r dy +9y=0; y = c₁e³x + dx ₁₂e³x + 9c₁e³x + ³c₂e³x + 3c₂e³+ + 9c₂re ³x Thus, in terms of x, d²y dy dx² dx 8 Ste3t + 9y = +9(c_e3X + C,xe3x)

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