1 find all constant solutions to the differential equation


1.) Find all constant solutions to the differential equation dy/dx = xy

2.) Show that y(x) = Ce^(x2/2) is a solution to the differential equation above

3.) For the solution in part b, describe C as a value of y(x)

4.) y(t) = 1/2 + Ce-2t is a solution to the differential equation dy/dx = 1-2y. If y(t) is a function, what is true about the long-term behavior of y(t) as the limit approaches infinity?

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Mathematics: 1 find all constant solutions to the differential equation
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