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## anonymous 3 years ago Suppose L is the operator defined by Ly=D2y−3Dy+y. Compute L(sin(x)).

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1. anonymous

Well do you know the 2nd and 1st derivative of sin?

2. anonymous

yeah

3. anonymous

Well then, what's $$D^2_x \sin x$$ and $$D_x \sin x$$?

4. anonymous

-sin(x) and cos(x)

5. anonymous

so would my answer be: -sin(x) - 3cos(x) + sin(x)?

6. anonymous

yes

7. anonymous

wow that was way easier than i thought, thank you!

8. anonymous

Yeah, the hard part is taking the laplace transform of it!

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