Question: y ' = 1 + y 2 , y ( x 0 ) = y 0 The solution of the initial value problem above is

y'=1+y2,y(x0)=y0
The solution of the initial value problem above is certain to exist provided x0 is in the interval
and y0 is in the interval
What is the domain of definition for the unique solution with initial condition y(4)=0? Hint: solve the differential equation.

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