Question: y = 1 / ( x ^ 2 + c ) is a one parameter family of solutions of the first order DE y '

= 1 / (

^2 +

)

is a one parameter family of solutions of the first order DE y

' + 2

^2 = 0 .

Find a solution of the first order IVP consisting of this differential equation and the given inital condition. Give the largest interval I over which the solution is defined. y

(1 / 2) = - 4

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