In problem verify that the given two-parameter family of functions is the general solution of the nonhomogeneous

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In problem verify that the given two-parameter family of functions is the general solution of the nonhomogeneous differential equation on the indicated interval.

y'' ‑ 7y' + 10y =­ 24ex;

y =­ c1e2x + c2e5x + 6ex, (‑∞, ∞)

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