The result from the preliminary method of coefficients linear with two variables is what type of DE? O Homogenous DE Linear DE Exact DE Separable DE ООО О

Q: find the genecol solution of Cauchy EuLer equation

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Q: 6. Use an appropiate linear approximation to estimate the value of In(1.01). Compare your…

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Q: For the equation uxx + uyy = 0, write the necessary equations which can be used to solve the…

A: The Laplace Equation: ∇2U=∂2U∂x2+∂2U∂y2=0   ⋯1…

Q: 7 Find the most general antiderivative for the function – 5VP. 2 -

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Q: X + x, + 4x, 9х, = 7 X2 2х, + 6х, 17x, = 5 2x2 4x, + 9x, 25х, 12x, = 4 = 7 4x4 explain the solution…

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Q: Find the orthogonal trajectories of the family of curv

A: In this question we will use basic of calculus i.e concept of orthogonal trajectory. We will simply…

Q: Solve for x and y using least Squares method (tabular or matrix method only) and also compute the…

A: Please check the question with the image, little bit it is blurry....

Q: The integration expression Jsin(3In(x)+ 4)cos(3In(x) + 4)dx must be transformed into using suitable…

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Q: Suppose that Mrs. Jena (in the position of T) want to travel to the top of regions diagonally right…

A: To find the number of route to reach the top of the region :-

Q: 5. Deduce the standard linear approximation of 1 x2+y2+z2 at Po(1,2,3).

A: The general formula of the standard linear approximation for f(x,y,z) is generally given by,…

Q: Assume that you are given a set of points and you want to find the regression line for this data. In…

A: Given linear system is Xa=Y is having no solution. Suppose that X be f by g, where f>g. X is full…

Q: Why the 1st row and 1st column of the JACOBIAN MATRX is always Zero ?

A: It is not necessary that the 1st row and the 1st column is  always zero. It may be possible or it…

Q: Find the smallest positive root by using the false position method V fEx)=x^2-6x-x^3+2 \) with two…

A: False root method: for given f(x) root=x2=x0-f(x0)⋅x1-x0f(x1)-f(x0)

Q: 4) Find the orthogonal trajectories of the family of curves

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Q: The normal line to the curve y = -2x2 at a point in the fourth quadrant passes through the point…

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Q: 1. The first approximation of the root of xlogx - 1.2 = 0 in [2,3], by Regula Falsi method (False…

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Q: solve e^-x=lnx using bisection method.

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Q: Calculate X1, X2, X3, and X4 using Gaussian elimination method

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Q: 8) Find the family Coff esponding to of orthogonal trajectories y=kx".

A: To find the orthogonal trajectories corresponding to below curve.

Q: Determine the orthogonal trajectories of the family of electric field lines described by the family…

A: Given    x-c3+y2-c23x-c=x3   differentiate  w.r.t.x    3x-c2+2ydydx-3c2=3x2⇒2ydydx=3x2-3x-c2+3c2…

Q: Under standard assumptions (X(nxp), y(nx1), B(px1), ɛ(nx1)) y=XB+ɛ, ɛ~(0, o^2 I_n) model and RB =r…

A: Given the model  y=Xβ+ε, where  ε~N0, σ2?n and constraint,  Rβ=r

Q: 4. Estimate the In (1.1) and sec (0.1) using a linear approximation and without using any kind of…

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Q: Show that, as n → ∞, n^4/3^n → 0 linearly with rate 1/3.

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Q: The roots of Characteristic equetion of a thrrd oreler, lineor homapeneous-equation with constaut…

A: Consider homogenous differential equation with constant coefficient:…

Q: Find the particular soluti y' + 3x²y = 3x² %3D Initial Condition: y = 6 %3D

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Q: i) Discuss the pros and cons of the various numerical methods such as the bisection method, linear…

A: The Bisection method is a method used in mathematics that helps an individual find the square root…

Q: The [L][U] decomposition method is computationally more efficient than Gauss elim solving O a single…

A: In LU decomposition method, we need to find the inverse of matrix(say matrix A). Let the order of…

Q: In an arplane hydraulie system 60 % of the leaks are cased by damage to the nipple joint with the…

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Q: Mention limitations of Gauss elimination and Gauss Jordan methods

A: drawbacks of Gauss elimination method:1It is used to solve not too large system of equations.2If we…

Q: RK4 method provides better approximation solution than Euler methods.

A: Above statement is true   Higher order accurate Runge Kutta methods are multi-stage because they…

Q: the rate at which the total average number of COVID cases is increasing at x = 10 tents and 4 = 1…

A: Given, Illustration: x=10 tentsdxdt=1 tent per day Let, a be the number of additional tents and y…

Q: Evaluate the integral V5+ 12x2 – 4xª xdx 2x2 – 3 (2x? - 3)/5+ 12x² – 4xª + 14Arcsin V14 +C {(2x2 -…

A: We will use substitution method to solve it.

Q: Calculate the equilibrium point using Gauss-Jordan Elimination only for the case where the number of…

A: The inter species competition scenario can be modelled in terms of standard Lotka Volterra ODE model…

Q: - Find the regression model. Regresyon modelini bulunuz. Y X

A: We have used the excel data analysis tool to run the regression analysis.

Q: what are the independent and dependent variables of this problem? is the DE separable?

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Q: What is the second iterative value of the root f(x) = x2 - 3. with the initial bracket [1, 2] using…

A: To find The second iterative value of the root of f(x) using the bisection method.

Q: Find the family of orthogonal trajectories of the system of circles which pass through the origin…

A: To find  The family of orthogonal trajectories of the system of circles which passes through the…

Q: Due I Find J to fire placos of cecirmal by Newton-Raphson method , Describle Newton-Raphson Method…

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Q: Obtain the particular solution for: 2y" +2y=2sinx y(0)=0, y'(0) =1 By using method of variation…

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Q: Find valume bounded by abave Z:4-20 and below by Z-xy 2.

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Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: 5. Solve the DE dy d²y xdx² dx - 4x = 0, 1<x<2 with y(1) = y(2) = 0. a) Using weak form and Galerkin…

A: A differential equation is given by, xd2ydx2+dydx-4x = 0 where 1&lt;x&lt;2 with y1 = y2 = 0. a) The…

Q: Do your calculation in 4 decimal places unless specified in the question. Solve the following linear…

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Q: Find the image of the point (-2,4) under the compression with factor ½ in the y-direction. O (-1,2)…

A: The point is -2, 4To find the image of point under the compression with factor 12 in y-direction

Q: The secant method of finding roots of nonlinear equations is categorized as a (an)_____ method. O…

A: To find- The secant method of finding roots of nonlinear equations is categorized as a (an)…

Q: b. verify your answer with Gauss Elimination Method.

A: Given system of linear equation is x-2y+z=2bx+ay=3-2y+z=-4 in the matrix form we can write it as…

Q: The bisection method of finding roots of nonlinear equations falls under the category of a method.…

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