Question: (1 point) Suppose that the characteristic equation for a differential equation is (r-5)(r-2) = 0 (a) Find such a differential equation, assuming it is

(1 point) Suppose that the characteristic equation for a differential equation is

(1 point) Suppose that the characteristic equation for a differential equation is (r-5)(r-2) = 0 (a) Find such a differential equation, assuming it is homogeneous and has constant coefficients. Enter your answer using y.yu"..y for the dependent variable and its derivatives. (For the last one write y with 4 primes.) help (equations) (b) Find the general solution to this differential equation. In your answer, use e, ce and to denote arbitrary constants, use y for the dependent variable, and use a for the independent variable Enter e, as ct, e as c2, etc help (equations)

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