Solve the equation Ax = b by using the LU factorization given for A. 100 2 -2 -4 A= 1 -2 2 -2 -4 1 0 9 b= - 24 0 -1 - 3 3 -5 -6 0 0 - 18 2 Let Ly = b. Solve for y. y =D 2. 7,

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A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 5. Eliminate the arbitrary constant on the given equation: -4xy? + x°y2

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Q: a) Find the general solution of the given equations of the line (2x - 5y + 10)dx+ (7x + 3y - 8) = 0

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Q: find general solutions (for x>0) of the Euler equation x3y3+6 x2y"+4xy'= 0

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Q: Solve the equation Ax = b by using the LU factorization given for A. - 6 4 0 0 4 -6 4 6 A = - 12 16…

A: Ans _ A=4−64−1216−78−104=100−3102−114−640−25001 and b=6−82Let l y = b100−3102−11y1y2y3=6−82y1=6 —…

Q: 13. Solve the DE t°y" – 3ty + 4y = 0,t > 0

A: Given differential equation is  t2y''-3ty'+4y=0

Q: 1. Solve for x: 5(х — 1) — -35 2. Solve for t: -3(2t + 35) = 9 %3D 3.4(v – 1) = w 3. In the equation…

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Q: Find a general solution of the equation: 5xy' = 2 – y %3D

A: Please find attachment for the details solution

Q: a) Solve the following linear equation by Cramar's - y + 2z = -4 Bx + y – 4z = –6

A: In this question, the concept of the Cramer rule is applied. Cramer Rule Cramer's rule is an…

Q: 3. Prove that the solution to the equation 9yy + 4x = 0 can also be written as: y2 = c: and what is…

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Q: 9. Solve the Bernoulli equation y' – 5y = --žxy³. (Hint: Try substitution u = y=²).

A:

Q: 4. Find the solution for the following b. y' + 2y't y = cost y) = 1, y ²) = 2

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Q: Find the general solution of the equation: 8² u dy² = e²+y

A: Given partial differential equation is ∂2u∂y2=ex+y......1. We have to find the general solution of…

Q: 13. Solve the DE t'y" – 3ty' + 4y = 0, t > 0

A:

Q: Use Gauss- Jordan to solve the values of x,y and z for this problem: 2x – y+z =-3 x+y-z = 6 3x - y-…

A:

Q: 2a |2a-a (3a-2)n dn

A: Given that, ∫02a2a-x(3a-x)xdx The  objective is to evaluate the integral. So the integral can be…

Q: Solve for z. If there are no solutions type DNE: 1 -4%3= I- 4 4z - 16

A: x4x-16-4=1x-4

Q: 1-y2 11(x² + y²)10 dxdy .

A:

Q: 1. Solve the following equations: c) (x² - 4xy – 2y²) dx + (y² + 4xy – 2x²) dy = 0 -

A: Given :x2-4xy-2y2dx+y2-4xy-2x2dy=0

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A:

Q: Solve the equation Ax=b by using the LU factorization given for A. 2 -5 2 2 -5 2 8 -6 12 - 1 -3 10 O…

A: Given,A=2−52−612−14−70LU factorization of A is−A=LU=100−3102−112−520−35001b = 8-124Let, x = x1x2x3…

Q: Which of the following equations represents the linearized version of the equation: y = 10(4)2- In y…

A: I am solving in step 2

Q: bw+jn=bz+m Solve for b

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Q: 1. Solve (D? + D;)z = 0 2. Solve (D– 2D,D, + 5D)z = 0 %3D y

A: 1) Given partial differential equation is: (Dx2+Dy2)z=0 Write auxiliary equation corresponding to…

Q: 4x3 y = x", y(0) = -3 and choose the correct answer from the followir x4 +2 Solve the initial value…

A: Note-  Acc. to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: 3) Solve the equation AX = b by using the LU factorization given for A 2 -4 2 i. A = -4 5 b=0 -9 1…

A: Answer

Q: C - S N. L Solve for C: V = C - -

A: Given equation is: V=C-C-SLN We have to solve for C.

Q: 4. Which of the following is a Legendre's equation? a. (1-x²)y" - 2xy' + 3y = 0 b. (1-x²)y" + 2xy' -…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the equation Ax = b by using the LU factorization given for A. 1 2 3 1 0 0|| 1 2 3 0 11 0 2 0…

A: The given matrix equation can be written as:  LUx=B OR…

Q: 2. Solve the following DE x y" – 4y = x e

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Q: solve the following D.E ,t<3 y" – 3y - 4y =- , y(0) = 0, y'(0) = 0 : ,t23

A: Here we will use Laplace transform method to solve the given differential equation.

Q: If e-x, xe-x are the solutions of y''+ay'+by=0 then, what are the values of a and b.

A: To find- If e-x, xe-x are the solutions of y'' + ay' + by = 0 then, what are the values of a and b.

Q: Solve the equation Ax = b by using the LU factorization given for A. 4 - 4 4 1 0 0 4 -4 4 - 4 A = -…

A:

Q: Now, we can set zy = 0, substitute 2x for y, and solve for x. + 21 = 0 = -21 X =

A: Substitution method: - The substitution technique could be a simple approach for determining linear…

Q: find a second independent solution of the given equation.…

A: Rewrite the given differential equation, in the form Divide the given differential equation with x2…

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A: Given system of linear equation is 10x1-x2+2x3=6-x1+11x2-x3+3x4=252x1-x2+10x3-x4=-113x2-x3+8x4=15 To…

Q: — хz + 2ху %3 0. xy ay az az Solve, y? ax

A: Lagrange's Method: Let us consider a standard form of the first order partial differential equation…

Q: solve the given equation below: xy'=4y

A:

Q: Find the general solution to the equation 4(x^2)y''+8xy'+y=0 by the method of Frobenius.

A: The differential equation is 4(x2)y''+8xy'+y=0. Let the solution be y=∑n=0∞anxn+r, then its…

Q: The Cauchy-Euler equation can be reduced to an equation with constant coefficients by means of the…

A: For the solution follow the next steps.

Q: Given : Z= 3x'y³ – 4x*y? from the given, solve the following: a) d) az b) e) Zxy f) Zxy

A: Hello, thanks for the question. Since we only answer up to 3 sub-parts, we’ll answer the first 3.…

Q: Ex/solve The equations 2x-y+3Z= -5 using Sing Gram e %3D X+y - Z = - 1 -2x+3-2Z%3= 2 。 メ= -1 -2 -1…

A: 2x-y+3z=-5x+y-z=-1-2x+y-2z=0 by using Cramer's rule- x=D1D, y=D2D, z=D3D D=2-1311-1-21-2…

Q: d²y 4 + y = t2 –- 2t + 3 dy - dt2 dt

A: As per the guidelines, are supposed to solve only one problem, please re-post the other problems…

Q: 7. Solve the Bernoulli Equation r +y² = ry dr

A: The Bernoulli equation is x2dydx+y2=xy. Calculate the value of y.

Q: g'ay-3y=(2tが)et

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Q: Solve the given O.D.E. by the method of "Variation of Parameters"; 1 Y" - 4 Y' + 4 Y = [12 x2 -…

A: The solution is given as

Q: 2. Determine the general solution to the equation y' + 2xy = e-2". %3D

A:

Q: 1: Find the general solution of the following equations: I. dy_2r+2y-3 X-y-1

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.