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    Finding The Solution For Differential Equations

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    Find the general solution of the differential equation: y'' + y = tan x sec x

    © BrainMass Inc. brainmass.com February 4, 2021, 6:33 pm ad1c9bdddf

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    The homogeneous part of the equation is:
    y" + y = 0

    and the associated characteristic equation is r^2 + 1 = 0

    So the roots are r1 = -i, and r2 = i

    Therefore, the solution to the homogeneous part is

    yh = ...

    Solution Summary

    This solution shows how to determine the general solution with a step-by-step explanation.