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Solve the following initial value problems and determine the intervals in which the solution is defined:...

Solve the following initial value problems and determine the intervals in which the solution is defined:

(a) y'= (1 − 2x)y^2 , with y(0) = − 1/6

(b) y' = 2x /(1 + 2y) , with y(2) = 0

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