Can you explain the Chebyshev's Theory?

Q: Give the solution of the initial value problem of the Cauchy Euler Equation. If it is not possible…

A: Given differential equation is t2d2ydt2−7tdydt+5y=t2−2.......1 and y1=2,dydt1=1 Let t=ez Then…

Q: How could the 1D heat equation represent physically?

A: We know that the heat energy of a body with uniform property is represented as; where c is the…

Q: Please give me Examples of Bordered Hessian principle with two variables.

A: We know that Bordered Hessian Principle is used for the second-derivative test in certain…

Q: What does Euler’s Method allow you to do?

A: Euler's method allows to approximate the solution of the first order differential equation.

Q: In the equation y = a ln (lambda x) + b, how can I isolate (1) a, and (2) the lambda?

A: Simple parametre reduce problem......

Q: Find a differential equation that corresponds to the given direction field.

A: This is a problem of slope field.

Q: What are modeled with differential equations?

A: Here we define the differential equations.

Q: Question 3 Assume that 'Refueling Points' could give fuel continuously, meaning one new customer…

A: We are given the following information. We have two scenario namely "Scenario 1" and "Scenario 2"…

Q: Question Which of the systems shown b could be used to get a şoluti to the de fferential equation "…

A: Given DE y'''-2y''+6y'-8y = 0 since the given DE is a third order DE, to get the solution we have to…

Q: what is the critical value at a=0.5?

A: The degrees of freedom for effect is 2 and the degrees of freedom for error is 27.

Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: Define Testing for cointegration when θ is unknown ?

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Q: Convert the differential equatim mto e System and Solle he System

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Q: When does Newton-Raphson method fail?

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Q: What is the basic idea on which Euler’s method rests?

A: Query- What is the basic idea on which Euler’s method rests. Answer- Euler's method is a numerical…

Q: linear algebra

A: To determine all solutions of the given linear system of differential equations in two unknowns,…

Q: Match the third order linear equation with their fundamental solution sets.

A: m3-7m2+10m=0⇒mm2-7m+10=0⇒mm-2m-7=0Solution set , 1,e5t,e2tD   m3+m=0⇒mm2+1=0⇒m=0 , m=±iSolution…

Q: Which of the following differential equations can be classified as separable and exact?

A:

Q: a. the root of the given nonlinear equation on its 16th iteration?

A: Given,         y=x3-x2-x-1;      -1<x<4

Q: can you tell us about the matriz and it caracteristics, for example gauss or gauss jordan

A: Gauss elimination method: In Gaussian Elimination method, first we write the augmented matrix from…

Q: How to find and identify all singular points of legendre's equation of order n?

A: A differential Equation P(x)y''+Q(x)y'+R(x)y=0 can be written as y''+Q(x)P(x)y'+R(x)P(x)y=0 x=a is…

Q: (b) Use the model from part a to determine number of bacteria, rounded to a whole nun after 2 hours:

A: we have to find

Q: Birinci dereee difrensiyel denk lemin yl1)- Otel Corimino bul. et (t+1) de+ (yey -tet)dy-0

A:

Q: Explain pth-order autoregressive model?

A: In auto regressive model, the value of future variable is predicted using past values.

Q: Apply Gauss's theorem to evaluate. A

A:

Q: Explain any three drawbacks of Newton's method?

A:

Q: State whether the following differential equations are homogenous or not. If yes, state the degree…

A: The given differential equation is3xydx-2x2dyx+y-y3dy=0which can be written as     3xydx-2x2dyx+y=…

Q: solve this problem using washer method and explain the process

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Q: .3 1+ at dt

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Q: Briefly discuss the origin/history of De Moivre's Theorem.

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Q: Explain the process of Gauss Jacobi, Gauss Saidel, Bisection, Regula - Falci, Newton's Rapson…

A: Gauss Jacobi Method: Gauss Jacobi method is used to solve system of linear equation which consist of…

Q: 4. Two bodies of the same mass are separated by a distance d. If their distance is increased by a…

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Q: 31. A system of two differential equations has at most two nullclines.

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Q: Construct a table of similarities and differences for Legendre, Laguerre and Hermite differential…

A: to construct a table of similarities and differences for legendre , laguerre and hermite…

Q: Chapter 3, Section 3.4, Question 009 Let θ (in radians) be an acute angle in a right triangle, and…

A: Given, Let θ (in radians) be an acute angle in a right triangle, and Let x and y, respectively, be…

Q: Which differential equations are called autonomous?

A: we have to tell which differential equations are called autonomous.

Q: How do you decide when to terminate Newton’s method?

A: To decide when to terminate Newton's method First, we will choose an initial approximation let us…

Q: Evaluat fin(ex+!) dx

A: Let

Q: convert the given linear differential equations to a first-order linear system. y" + 2ty' + y =…

A: The differential equation is y''+2ty'+y=cos t. Let x1=y and x2=y'. Then,  x1'=y'=x2 and x2'=y''.…

Q: Explain Gauss-Seidel method.

A: To explain Gauss-Seidel method

Q: An RL circuit has an emf of 5 V, a resistance of 50 Q, an inductance of 1 H, and no initial current.…

A:

Q: Can you explain a definition of Thales' theory and give me some examples?

A: The Thales theorem states that :The diameter of a circle always subtends a right angle to any point…

Q: Determine whether or not the following differential equations are homogeneous.

A: Solution:

Q: Is the differential equation ????′′+?=? a Cauchy Euler equation? Explain.

A: Given question : Is the differential equation ????′′+?=?a Cauchy Euler equation? Explain.

Q: Empirical Rule

A: Note that here probability and area are interchangeable terms. It is because the area under the…

Q: Recast the system of higher order differential equations as a first order system. u""=2u-3v…

A: The given higher order differential equations are: u'''=2u-3vv''=3tu'v'-cos u Recast the system as a…

Q: Explain in your words how the Laplace transform is applied to solve a system of linear deferential…

A: The Laplace transform is an integral transform. The Laplace transform is mostly useful in solving…

Q: 6. Write down the partial differential equations for; (a) Diffusion equation (b) Wave equation,…

A: Diffusion equation identical to heat equation  Wave and Diffusion equation contains partial…