Solve the linear system using Gaussian Elimination 3x1 + 4x2 + x3 = 19 2x1 + 2x) - 4x3 + 6x1 = 10 X1 +3x + Sx3 + 2x = 26 X1- X) + 2x3 + 3x = 15

Q: Differention oferarators (D-operator) Find General Solution, yh+yp 2 (D" (0²-13 y = x²

A:

Q: The solution of y" + xy = 0, is y = (B) ao + a₁x + Q10: (A) a₂ + a₁x + ²x³+... 40x3 +... 12 20x³ 12…

A: Let y(x)=∑n=0∞anxn be the solution of the given differential equation⇒y1(x)=∑n=1∞annxn-1…

Q: Compare the properties of the solutions of the wave, the heat and the po- tential equation. Discuss…

A: Note: “Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: OUESTION 2 Show That yi= dx ta ĝ yo =-x° are both soluhions of y= xy'+ (y)? Are the c wn stant…

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Q: Find the equation of the system of surfaces which cut orthogonally the system of surfaces x? = 10y?…

A: The objective is to find the equation of system of curves which cut orthogonally the system of…

Q: Q7: The solution of y(4) = 0, is: (A) Cx³ (B) C₁+C₂x + C3x² + C4x³ (C) C₁+C₂ex + С3e²x + С₁e³x (D)…

A: To determine the solution of the following differential equation. y4=0 Note: Since the student has…

Q: Q2: If y" +3y' + 2.25y=-10e-1.5x, then yp = ².-15x (0) 2.-1.5x1 n 6)

A:

Q: Q4: The solution of y(4) - 5y" + 4y = 0 is: (B) C₁e* + C₂e + c3e²x + ₁е-²x of 13 !!! (C) c₁e* +…

A: y(4)-5y"+4y=0

Q: 10) du(3リ+3 4x + 5, 二 dx

A:

Q: Which component is missing from the biologist's process? A biologist wonders if the life span of…

A: Assignment: Things Biologist  done correctly Used proper labelling of peices of paper Sufficient…

Q: Q12: If y"=1, then yp (A) x² (B) x² + x + 1 (C)=x² (D) x + 1

A: The given problem is to find the particular solution for the given differential equation. Given…

Q: d²y dx² -y=xe*

A:

Q: Q3: The Wronskian of the homogeneous solution of y" + y = cscx, is= (A)-1 (C) 0 (D) 1

A:

Q: Q9: Use L{1}={coswt} = s²+w²1 1-cos2t -¹ {53 +45-} = (A) ² (B) 2 (1-cost) (C): s³+4s 4 9 to find…

A: L-11s3+4s

Q: Show that a linear equation dy a(x) + b(x)y = c(x) %3D dx is exactif a' (x) = b(x).

A: A differential equation of type  P(x,y)dx + Q(x,y)dy =0 will be an exact differential equation if…

Q: 5) Find y(0.1) if y'=x-y² and y(0) 6) Use Euler's method to find y(0.4) given y' = xy, y(0) = 1. =…

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Q: || > 1 {e*cos(x), x|< 1 30. f(x) = {0, %3D Does this function have a Fourier transform (i.e., does…

A: Given fx=excosx, x&lt;1. As it is known that Fourier Transform of fx exists if the function is…

Q: A rocket is a cylinder with radius 2 meters. Show that if the electric field ди is (2,0) = sin(0) on…

A:

Q: Show that MP-1 (n) + (m+1) Pm+1 (n). - (2m +1) " Pm (n] =>

A: The objective is prove that mpm-1x + m+1pm+1x - 2m+1 x pmx = 0. To show the given result we will use…

Q: Classify the critical point of the plane autonomous system corresponding to the second order…

A:

Q: Random Walk Prove this! (ou)" = (u-0) = E P(U:)(Ui-ū)*

A: *Answer:

Q: Eliminate Band a for the relation. x=Bcos(wt+a) in which w is a parameter. *

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Q: Prove or disprove that the quotient of two harmonic functions is harmonic.

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Q: Q1: If y" + y = x², then yp= = (A) x² (B) x² + 2 (C) x²-2 (D) 2x²

A: As asked we shall solve only question 1.

Q: TRANSIT COMPETITIVENESS with respect to active modes Bike U = exp ( -5.445 – 3.115*In(Tdist) ) Walk…

A: This is a multipart question, i.e., a question containing multiple interrelated sub-parts. As per…

Q: Question 2. Solve the equation ug + Uy + u = e®+2y with the initial condition u(x, 0) = 0. (Both…

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Q: 5. Given the initial value problem dy dt use Euler's method with at least four steps to estimate…

A: The given differential equation is dydt=ty+1 with y0=2. We need to estimate the value of y2 using…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.