Find the general solution of the given higher-order differential equation. y''' - 9y'' + 15y' + 25y = 0

Q: Solve the following D.E: dy 4. = dx xy3 1+x² ,y (0) = 1

A: 4)Given 1st order non linear differential equation is the following :by separation method we get…

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Q: 1. Consider the Sturm-Liouville equation dz (p(x)du) — q(x)u + \p(x)u = 0 dx on a 0 and q > 0 for a…

A: Answer Explanation:Approach to solving the question: Detailed explanation: Examples: Key references:

Q: SIMPLEX METHOD Min C = 3X1 + 7X2 + 5X3 Subject to: X1 + X2 + X3 ≥ 50 2X1 + 3X2 + X3 > 100 X1, X2, X3…

A: The objective of this question is to use the simplex method to minimize the cost function C = 3X1 +…

Q: Forward elimination changes -2x - 3y = 7 -6x - 10y = 22 -2 -3 - -6-10 -2x-3y=7 -ly=1 That step…

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Q: Suppose E(X) = 93, E(Y) = 95, a = 0.09, and b = 0.91. What is E(aX+bY)? (Please round to two decimal…

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Q: (1) Let (an) be the sequence given by an = (a) Show that for all ɛ > 0 there is N E N where = √n.…

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Q: -Calculate the potential difference (V) from A(0,0,0) to B(2.1.3) if E= 4xy ax + 4x²zay + 2x²y a₂! m

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Q: If w = x + y²z, then the differential, dw is

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Q: If Cov(X,Y) = 100, then what is Cov(5X,5Y)?

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Q: A model of tumour growth under chemotherapy from time t = 0 to t = t₁ > 0 is dC dt = -Clog ( C Cmax…

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Q: Problem 8. Prove that if R is a finite ring with unity then any prime ideal is a maximal ideal.

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Q: 11. dy dt = te y, y(0) = 1. dy 12. = ey-t, y(0) = 2. dt

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Q: Consider the following pair of functions: f: Z → Z defined by f(x) = 3x - 2 g: N → Z defined by g(n)…

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Q: Which random graph G(N, p) has (k) = 40 and variance o² of the degree distribution given by ² = 20?.

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Q: 5. dy dt = (sin t)y + 2 sin t.

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Q: (10) Solve the following equations (they may be simple, variable separable or can be made such with…

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Q: Let o be the surface 4x + 5y +9z= 7 in the first octant, oriented upwards. Let C be the oriented…

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Q: Suppose that Var(X) = 704.85, Var(Y) = 9161.83, and Cov(X,Y) = 2154.62. What is Var(.97X + .03Y)?

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Q: Solve the following IVPs 9y " − 6y' + y = 0 with y(0) = 4 and y'(0) = 1

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Q: Suppose E(X) = 71, E(Y) = 62, a = 0.23, and b = 0.77. What is E(aX+bY)? (Please round to two decimal…

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Q: Find the LU factorization of and use it to solve the system 2 6 -4 10 A= 2 -2 -4 10 6 -9 -5 -7 ܕ -2…

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Q: Find the general solution of the given second order differential equation. 3y'' + 2y' + y = 0

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Q: Find a 3 × 2 matrix A and has LU factorization where L is diagonal.

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Q: The optimal solution of this linear programming problem is at the intersection of constraints 1 and…

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Q: Consider the following LP Maximise: Subject to: (i) Px + Qy 3x + 2y 4x + 4y < b x, y ≥ 0 You can…

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Q: Calculate only the (complete) extensions of the curve: x^2 y + 2xy - x^2 + y = 0.

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Q: "(a) Let f be the real function on the interval [0, 1] given by f(x) = 0, when x = IT: = 0 when 0 0…

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