Solve the following IVP. y"'-5y"-22y'+56y=0 y(0)=1 y'(0)=-2 y''(0)=-4

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A: Note: As per you request, i answered here only subparts (d) , (e) and (f).

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Q: = Determine the particular solutions of y" - 5y² + y; = y(0) = 1; y 10) = 0 0 @ 3 -b y" + 3y² - 2y =…

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Q: 3. Prove or disprove [yes, these should look familiar from §2.3]: (a) The sum of three consecutive…

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A: Actually this result is wrong. I can disprove this by giving an example.

Q: A= AB ВА 3 05-21 -7 4 -3 2-6 and B = -5 6 9 22377 А -2 1 -1

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A: See answer below.

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Q: 10. Give a combinatorial proof: For n ≥ 1 and k ≥ 1, (n)k = n · (n − 1)k-1.

A: To give: A combinatorial proof: For n≥1 and k≥1, k·nk=n·n-1k-1.

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Q: 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 26 25 24 23 22 64 32 16 8 4

A: By applying table(1111111111)2=1023 Binary to decimal =1023

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