(a) Show that (t) = e2t is a solution of y 2y = 0 and that
Chapter 2, Problem 23(choose chapter or problem)
(a) Show that (t) = e2t is a solution of y 2y = 0 and that y = c(t) is also a solutionof this equation for any value of the constant c.(b) Show that (t) = 1/t is a solution of y+ y2 = 0 for t > 0 but that y = c(t) is nota solution of this equation unless c = 0 or c = 1. Note that the equation of part (b) isnonlinear, while that of part (a) is linear.
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