d?x ax dx ÷+ 9x = 0, when x(0) = 1 and (0) = 0 dt2 dt dt

Q: y" +y' – 2y = 4e* – 2x

A: We have the given differential equation is y''+y'-2y=4e-x-2x2     …..(1) The auxiliary equation for…

Q: Find the general solution?

A: The characteristic equation for the given second order ordinary differential equation is:

Q: A marketing expert for a pasta-making com- pany believes that 40% of pasta lovers prefer lasagna. If…

A: Given: n= 20 ,x= 9.0 p= 0.4 ,significance level(∝)= 0.05 p̂= 9.0 / 20

Q: 1. A convex polyhedron is a 3 dimensional geometric figure made up of faces, each of which is a…

A: The complete solutions are given below 1(a)

Q: 1-2 3 14 21. Let A = -2 4 and λ is an 3 4 2 eigenvalue of A, then : (A) -6≤x≤9 (B) 6≤1≤9 (C) 7≤x≤9…

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Q: Problem 11 (a) Let X and Y be normed linear spaces and T: XY a linear operator. Prove: T is not…

A: Here we will use the following facts- (i) T : X→Y be a linear operator is continuous at a point 'O'…

Q: Find out all the relative minimum and maximum values, and saddle points of the function h defined by…

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Q: a. My =n xyy

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Q: Find a product solution using separation of variables.

A: The given partial differential equation is                                         x∂u∂x=u+y∂u∂y

Q: The Bank of Hawaii reports that 7% of its credit card holders will default at some time in their…

A: It is a binomial distribution, as either the cardholder will default, or it won't, and the…

Q: Consider the following Integer Programming problem 2x1 +9 x2 2 x1 + X2 s 20 X1 + 5 x25 24 X1 2 0,…

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Q: According to a government study, among adults in the 25- to 34-year age group, the mean amount spent…

A: Given : The mean amount spent per year on reading and entertainment is $1,994. Assume that the…

Q: () Find the solution that satisfies Y(0) 1

A: We will find out the required solution.

Q: 5) A point P moves in the plane so that it is always equidistant from each of the points A = (3,2)…

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Q: Find the General Solution of (D² + 5DD' + 6D²)Z = 10 cos(x – y)

A: Given partial differential equation is D2+5DD'+6D'2Z=10cosx−y. We have to find the general solution…

Q: Find the function that is harmonic in the unit disk agrees with f(0) = sin²(0) on the boundary. C S…

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Q: E. Find a function u(x, y) that is harmonic outside the unit disk, equals f(0) = 4 sin(30) + 5…

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Q: 2. For which value of a is u(x, y) = x³ + xy² harmonic in R². ?

A: Given ,           u(x,y) = x3+αxy2 (.)  A real valued function  f(x,y) is harmonic in ℝ2  if ,…

Q: (D³ – 4D)y = 0 is ® y = (C, +C,x)e* + C;e** + C,e** ° y = C, + C,x + C;e * o y = C, +C,e²* + C;e²*…

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Q: Please Explain how to get particular solution

A: The particular solution isy=31​e3t+e4t[8cos(4t)+4sin(4t))]Explanation:Step 1:

Q: Consider the curve Cwith parametric equations Sa(t) = t3 – 3t +1 lu(t) = t(t + 1) | lefined for t…

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Q: 5sin 20 – 16sin0+3=0

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Q: In 1-21, use the definition of an improper integral to evaluate the given integral. 5 2. S dx…

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Q: In establishing warranties on HDTVS, the manufacturer wants to set the limits so that few will need…

A: The standard normal variate is used to find the probability of normal distribution using the mean,…

Q: y" - 4y' =t+ 3cost + e -2t

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Q: 1. Find all solutions to the following congruences. (d) 5x = 10 (mod 20)

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Q: Find a function u(x, y) that is harmonic in R² and that equals f(0) = 4 sin(30) + 5 cos(60) o the…

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