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There are exactly four complex roots of the equation r4+4=0, namely r1=1+i,r2=1+i,r3=1i,r4=1i. (A) Verify that r1=1+i is a root of r4+4=0. That is, calculate r14+4

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There are exactly four complex roots of the equation r4+4=0, namely r1=1+i,r2=1+i,r3=1i,r4=1i. (A) Verify that r1=1+i is a root of r4+4=0. That is, calculate r14+4 and show it is equal to 0 . (B) Find the general solution to the differential equation dx4d4y+4y=0. (C) Find the general solution to the differential equation dx8d8y+8dx4d4y+16y=0

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