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    First Order Differential Equation

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    First find the general solution of the linear ODE in each IVP by following the steps of the procedure. Then use the initial condition to find the solution of the IVP. Discuss that solution's qualitative behaviour as t --> +(SYMBOL). Give the largest t-interval on which the solution is defined:
    y' + 2y = 3, y(0) = 1

    Please see attached file for full problem description.

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    Solution Preview

    Please see attached file for complete solution.

    Using integrating factor for the IVP problem:

    The integration factor is:

    In our case p(x)=2 thus the ...

    Solution Summary

    A full derivation of the solution to this ODE including graphs that describe its asymptotic behavior.