2) Find the General Solution to: $\displaystyle (D^3 - D^2 + D - I)[y] = t^5 + 1$ 3) Prove or disprove that there are two constants A and B such that: $\displaystyle t^2D - tD - 8I = (tD + AI)(tD + BI)$
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Typo in #3: 2) Find the General Solution to: $\displaystyle (D^3 - D^2 + D - I)[y] = t^5 + 1$ 3) Prove or disprove that there are two constants A and B such that: $\displaystyle t^2D^2 - tD - 8I = (tD + AI)(tD + BI)$
Originally Posted by ballajr Typo in #3: 2) Find the General Solution to: $\displaystyle (D^3 - D^2 + D - I)[y] = t^5 + 1$ 3) Prove or disprove that there are two constants A and B such that: $\displaystyle t^2D^2 - tD - 8I = (tD + AI)(tD + BI)$ for the first one now you have to do the other side $\displaystyle (D^3 - D^2 + D - I)[y] = D^6$ $\displaystyle (D-1)(D^2+1)D^6$ $\displaystyle c_{1}e^t +c_{2}\cos{t} +c_{3}\sin{t} +c_{4} +c_{5}t + c_{6}t^2 +c_{7}t^3 +c_{8}t^4 +c_{9}t^5$
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