3. Prove that the cube roots of 1 are given by -1+i√√3 =3 2 || 2 -1-i√√3 w³ = 1. 2

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A: Given differential equation

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Q: c

A: Please refer below pages.If you have any questions feel free to ask.Explanation:Step 1: Step 2:

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A: Please see the attachment Explanation:

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A:

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A: find the general solution of the given higher- order differential equation. y'''' +y'''+y''=0.

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A: Therefore, the required answers are a) A′−6=0b) A(0)=13c) A=6t+13 Explanation:Step 1: Consider the…

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A: image uploadedExplanation:Step 1: Step 2: Step 3: Step 4:

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A: Images attached.Explanation:

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A:

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A: Therefore, the particle is at rest at t=6So, the option-2 is the right answer. Explanation:

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A:

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A:

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A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

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A: Answer is given below Explanation:

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