Given the one-parameter family y=(1)/(x^(2)+c) of solutions of the first-order ODE(dy)/(dx)+2xy^(2)=0, find a solution of the first-order IVP consisting of this ODE and the initial condition y(0)=1. Find the largest interval I over which the solution is defined. solutionspile.com

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Given the one-parameter family y=(1)/(x^(2)+c) of solutions of the first-order ODE(dy)/(dx)+2xy^(2)=0, find a solution of the first-order IVP consisting of this ODE and the initial condition y(0)=1. Find the largest interval I over which the solution is defined.  solutionspile.com

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