Differential Equations Quiz
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SECOND-ORDER LINEAR ODES
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Consider the second-order linear homogeneous differential equation ay′′+by′+cy=0ay'' + by' + cy = 0 where aa, bb, and cc are constants with a≠0a \neq 0. If the characteristic equation has roots r1=−2r_1 = -2 and r2=3r_2 = 3, and the solution satisfies y(0)=4y(0) = 4 and y′(0)=−1y'(0) = -1, what is the value of y(1)y(1)?
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