(1+t2) ds + 2t[st2 – 3 (1+12) ²]dt = 0; when t = 0, s = 2.

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A: Given differential equation is (D5-2D3-2D2-3D-2)y = 0

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A: Please post the multiple question separately. Here I answered 1st question as per our policy.

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A: Since you have posted a multiple  question according to guildlines I will solve first   question…

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Q: 3. Let f : [2,5] → R such that f(x) et Is f uniformly continuous? Justify your answer. Answer:

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Q: Let A be a subset of a topological space X. Show that bd(A) = Ø iff A is open and closed in X. %3D

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Q: Generate the 6th degree Legendre polynomial.

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Q: Let A and U = H. Then A2017U is equal to

A: The given matrix is A=-120-1 find A2=-120-1-120-1=1+0-2-201=1-401 therefore A2=1-401 similarly…

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A: please comment if you need any clarification. if you find my answer useful put thumbs up. Thank you.

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Q: 2/3x1 - 1/4x2 + 5/8x3 = 0   1/5x1 + 2/3x2 - 1/4x3 = -7   -3/5x1 + 4/3x2 - 7/8x3 = -5

A: To solve the above system of equations we will write the given system in Matrix form then we will…

Q: What value of t ensures the following system of equations has no solution? 3x + ( - 4)y = 1 = 2 ty…

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Q: For skew anti-symmetric matrix, the sum of its entries is A 10 -5 1 E) -1

A: We know the skew anti-symmetric matrix or skew matrix is At=-A

Q: the fif

A: