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Math Help - Two Problems I Need Help With

  1. #1
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    Two Problems I Need Help With

    2) Find the General Solution to:
    (D^3 - D^2 + D - I)[y] = t^5 + 1

    3) Prove or disprove that there are two constants A and B such that:
    t^2D - tD - 8I = (tD + AI)(tD + BI)
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  2. #2
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    Typo in #3:

    2) Find the General Solution to:
    (D^3 - D^2 + D - I)[y] = t^5 + 1

    3) Prove or disprove that there are two constants A and B such that:
    t^2D^2 - tD - 8I = (tD + AI)(tD + BI)
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  3. #3
    Super Member 11rdc11's Avatar
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    New Orleans
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    Quote Originally Posted by ballajr View Post
    Typo in #3:

    2) Find the General Solution to:
    (D^3 - D^2 + D - I)[y] = t^5 + 1

    3) Prove or disprove that there are two constants A and B such that:
    t^2D^2 - tD - 8I = (tD + AI)(tD + BI)
    for the first one now you have to do the other side

    (D^3 - D^2 + D - I)[y] = D^6

    (D-1)(D^2+1)D^6

    c_{1}e^t +c_{2}\cos{t} +c_{3}\sin{t} +c_{4} +c_{5}t + c_{6}t^2 +c_{7}t^3 +c_{8}t^4 +c_{9}t^5
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