# Finding The Solution For Differential Equations

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

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##### Solution Summary

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

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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 = ...

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