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The indicated function y1(x) is a solution of the given differential equation. Use reduction of order...

The indicated function y1(x) is a solution of the given differential equation.

Use reduction of order or formula (5) in Section 4.2,

y2 = y1(x) e−∫P(x) dx y 2 1 (x) dx (5)

as instructed, to find a second solution y2(x). y'' + 100y = 0; y1 = cos 10x

I've gotten to the point all the way to where y2 = u y1, but my integral is wrong for some reason

This was my answer

y2= c1((sin(20x)+20x)cos10x)/40 + c2(cos(10x))

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