Find a particular solution of the given differential equation. Use a CAS as an aid in carrying out differentiations, simplifications, and algebra. y(4)+2y" + y 2 cos(x) - 6x sin(x) Yp(x)= x

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Q: 10. Prove that the ring Z[w] is a UFD, where w²+w+1=0. [Hint: As in the previous question, prove…

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Q: 1. Use Laplace transforms to solve the IVP. a. y" - 6y' + 9y = 0; y(0) = −5, y'(0) = −2 b. y" - 9y…

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Q: Show all the work

A: ∙  A=⎣⎢⎡​5−13​217​⎦⎥⎤​∙  T([−26​])=⎣⎢⎡​2836​⎦⎥⎤​Explanation:Given: ∙  T(e1​)=⎣⎢⎡​5−13​⎦⎥⎤​∙…

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A: y=x2+16x−2−2​ minimum at x= -8Explanation:Step 1:Step 2: The double derivative was done to check…

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A: 3(a) linearly independentHence general solutions given as: 3(b)(i).  y(x)=(cosx +…

Q: Solve the differential equations

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A: 1. etsin(2t)+cos(2t)⋅2et2. 5e−2t+2e3t3. −H(t)+e2t⋅4t4. 2cos(2t)−21​sin(2t)+cos(3t)+2sin(3t)5.…

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Q: 2. Evaluate the following limits: 7.6 a) lim 102 r4 20 b) lim q-3-79-6 q∞ 2q4+4q-3-10q-8 -7x3+7 c)…

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Q: - - Find the largest number ♂ such that if |x − 1] < ɗ, then |2x − 2] < ɛ, where ɛ = 1. δς Repeat…

A: We will find the value of delta.

Q: e integral;

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