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Solution to Nonlinear Differential Equation

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Please see the attached file for the fully formatted problems.

1. Consider the nonlinear differential equation attached

a. Find the solution to this differential equation satisfying y(0) = y0 where y0 does not equal +/- 1.
What is the solution if y0 = +/-1.
b. What happens to the solution as t--> infinity for y0 > -1?
c. For y0<-1 at what time does the solution blow up.

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A Nonlinear Differential Equation is solved. the solution is detailes and well presented.

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