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allyfranken Group Title

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

  • 2 years ago
  • 2 years ago

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

    • 2 years ago
  2. allyfranken Group Title
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    yeah

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

    • 2 years ago
  4. allyfranken Group Title
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    -sin(x) and cos(x)

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

    • 2 years ago
  6. vf321 Group Title
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    yes

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

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

    • 2 years ago
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