4. Let a, b, and c be elements of a field F. Find the Characteristic polynomial and minimal polynomial of г0 0 c the following 3 X 3 matrix over F: A = 10 b Lo 1 al

Q: (7) Find the general solution of the ordinary differential equation x²y" + xy' - y = 8x²e²x.

A: See l solution in image Explanation:

Q: (5) Find the general solution of the following differential equation y″ – 4y' + 4y = (12x²-6x)e²x.

A: The general solution is found.Explanation:Step 1:Step 2:

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A:

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Q: 31. Find a basis for the nullspace of the matrix [231] 516 2 7 6-2 1 2 0

A:

Q: Find f'(x) and simplify. f(x)= x x+2 Which of the following shows the correct application of the…

A: F′(x)=(x+2)22​Explanation:If you have any questions let me know in comment box thankyou for your…

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A: Please refer to the explanation below. If you need any clarification regarding the answers provided,…

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A:

Q: 2. Assume that h: [a, b²] → R is a continuous function and let G : [a, b] → R denot the following…

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Q: 5 sen (2x) cos³ (2x) dx

A: We need to find the integration of

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A:

Q: (3) Solve the following differential equation y" - 2y+2y=2x-2, y(0) = 0, y(T) = π.

A: The solution has been provided.Explanation:

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A: The matrix is :

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Q: 1.19. Evaluate the series: where akk² - 1, = S(x) = Σ akxk, k=0

A: AnswerExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Solve each of the initial value problems. Clearly label the general solution, and then the…

A: We have to solve the IVP

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A:

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A: Solution is given below Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 1. Find the solution of the wave equation a² u Ət² [ a² u . c² მ2 მy2 + 0 < x <1, 0 < y < 1 with the…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

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A:

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A: A is a tree B is a forest C is a tree D is a forestExplanation:

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