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OpenStudy (anonymous):
Assume that y(x) = 5-x^2 and y(x) = x sin(2x) are solutions of a linear, homogeneous differential equation with constant real coefficients. Q1). The order of the differential equation could be equal to 5 ? Q2) the order of the differential equation is greater than or equal to 7? Q3) the characteristics equation has repeated roots? Q4). 0 is definitely a root of the characteristics equation ? Q5) 1-2i is definitely a root of the characteristics equation ?
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