Mathematics, 02.10.2019 16:30 nuggetslices

52. on page 51 we showed that a one-parameter family of solutions of the rst-order differential equation dyydx 5 xy1/2 is y 5 _ solutions of the rst-order differential equation 1 4 x4 1 c+ solutions of the rst-order differential equation 2 for c $0. each solution in this family is dened on (2`, `). the last statement is not true if we choose c to be negative. for c 5 21, explain why y 5 _ 1 4 x4 2 1+ 2 is not a solution of the de on the interval (2`, `). find an interval of denition i on which y 5 _ 1 4 x4 2 1+ 2 is a solution of the de.

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52. on page 51 we showed that a one-parameter family of solutions of the rst-order differential equa...