# Solution of Differential Equation

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Verify that y_p , where y_p(x) = sin 2x, is a solution of the differential equation:

y'' - y = -5 sin 2x. Use this fact to find the general solution of the equation

https://brainmass.com/math/calculus-and-analysis/solution-differential-equation-16083

#### Solution Preview

Proof. y_p(x)=sin2x==>[y_p(x)]'=2cos2x and [y_p(x)]''=-4sin2x

So, [y_p(x)]'' - y_p(x) = -5 sin 2x

So, ...

#### Solution Summary

A solution to a differential equaiton is verified.

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