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



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vf321
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Well do you know the 2nd and 1st derivative of sin?

allyfranken
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yeah

vf321
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Well then, what's \(D^2_x \sin x\) and \(D_x \sin x\)?

allyfranken
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sin(x) and cos(x)

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

vf321
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yes

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

vf321
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Yeah, the hard part is taking the laplace transform of it!