Mathematics, 22.02.2020 03:53 crystalbyrd79p8imrx

Suppose that the characteristic equation for a differential equation is (r−4)^2 (r−5)^2=0

(a) Find such a differential equation, assuming it is homogeneous and has constant coefficients.

(b) Find the general solution to this differential equation. In your answer, use c1,c2,c3 and c4 to denote arbitrary constants, use y for the dependent variable, and use x for the independent variable.

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Suppose that the characteristic equation for a differential equation is (r−4)^2 (r−5)^2=0