Q2. (a) If b – 4ac = 0 and y1 = emz solves ay" + by' + cy = 0, use reduction of order to get a linearly independent solution. [You may assume linear independence]

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A: ⎪⎪⎪⎪⎪⎪Maximize2x1+3x2−2x21Subject to x1+4x2≤4x1+x2≥2x1⎪⎪⎪⎪⎪⎪Maximize2x1+3x2−2x21Subject to…

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A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Theorem 1.22 If a e R. be R and a <b then there is a rational number r such that a <r< b.

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Q: Question 6 Find the solution. y' = e2x + 3y

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Q: 4. Let A be an invertible matrix having A1, ..., Xn as its eigenvalues. a) Find all the eigenvalues…

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Q: Q4. Without solving (proper computation), show that determinant of the following matrix is zero. -1…

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Q: Instructions: Find the integer value of 16y(/3) 3/3 if y solves the initial value problem y" +y = 0,…

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Q: Differentiate y = (x – a)(2ax – x²)"2 + a²Arcsin[(x – a)/a].

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: State which property of determinants is illustrated in this equation. 8 -7 16 6. 16 6. 2 - 8 -7 7 4…

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Q: Differential Equation y"(x) = - [y'(x)]²

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Q: UAing Runge - kutta mothod of fourth oxden Selve dy - - ithy (0)=1 at 2. Fx² 2. 2= 0.2,0.4.

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Q: Example 7. Show that the integral equation g(x) = 1 (sin x sin 2t) g(t) dt has no eigenvalues.

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Q: 10.(Straightforward) Find the general solution of these constant coeffi- cient linear inhomogeneous…

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Q: Problem A.4 Find all solutions of the following equation: 0 1 1 2 1 2 3 4 20 20 -4

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Q: Find the solution. dy y -= xy? dx A y = - ex - x3 3x B y = c-x3 - 3x y = c+x3 D y = c+x3 3.

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Q: 10. Let o: Q(V2) → Q(/2) be the map given by ø(a+bv2) = a-bv2. Show that is a Q-linear field…

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Q: Graph the intersection or union, as appropriate, of the solutions of the pair

A: Given,           5x-y≥5, and y&lt;2

Q: (3) (a) Suppose a ring R is a finitely generated algebra over a field k. Prove that the Jacobson…

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