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    Systems of Differential Equations : General Solution and Phase Portrait

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    A. Find the general solution to the attached system of differential equations.
    x' = y
    y' = 2x

    b. Draw the phase portrait for this system and describe in words what happens to the solution for all initial conditions:
    x(0) = x0 and y(0) = y0.

    See the attached file.

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    Solution Summary

    A system of differential equations is solved and a phase portrait is described. Graphs are also shown. The solution is detailed and well presented.