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allyfranken

  • 3 years ago

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

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  1. vf321
    • 3 years ago
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    Well do you know the 2nd and 1st derivative of sin?

  2. allyfranken
    • 3 years ago
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    yeah

  3. vf321
    • 3 years ago
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    Well then, what's \(D^2_x \sin x\) and \(D_x \sin x\)?

  4. allyfranken
    • 3 years ago
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    -sin(x) and cos(x)

  5. allyfranken
    • 3 years ago
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    so would my answer be: -sin(x) - 3cos(x) + sin(x)?

  6. vf321
    • 3 years ago
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    yes

  7. allyfranken
    • 3 years ago
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    wow that was way easier than i thought, thank you!

  8. vf321
    • 3 years ago
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    Yeah, the hard part is taking the laplace transform of it!

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