Q2/ B) Apply Gauss-Seidal method to solve the following set of simultaneous equations: 5 x +2 y +z= 12 x+ 4 y+ 2 z 15 x +2 y+5 z 20 Correct up to four figures, taking the initial guesses for X Y and Z equal to zero.

Q: Solve using method of undetermined coefficients: y" + 3y = -48x2e3x

A: The solution is given as

Q: 2 31) Solve the equation for x: (x – 7)5 = 9

A: Consider the equation

Q: 12. Exact equations: Solve: 3xy²dx + (3x²y + 4y²) dy = 0 O ry + y* = c O r?y² + y* = c

A:

Q: c. Solve the following simultaneous equations with three unknown 5x – 3y – 3z = 31 2x + 6y + 3z = 4…

A:

Q: Solve by the substitution method:

A: Consider the following equations: x2=y-1                      ...... 14x-y=-14x=y-1…

Q: O Solve y(0) -1, yro)= -2

A:

Q: Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to…

A: Given integral: ∮Ce5izz4-z4z-i3dz closed curve is z=4. Cauchy integral formula: fw=12πi∮Cfzz-wdz…

Q: 1. Solve the following equations; a) (3y²)(10y³)², b) (p¹q-³)³(2p-2q²)-³,

A:

Q: A. Solve the following DE by using exact equation method: y = x - y,

A: The given differential equation is dydx=x-y ⇒x-ydx-dy=0 ⇒M=x-y and N=-1⇒∂M∂y=-1 and ∂N∂x=0⇒∂M∂y≠∂N∂x…

Q: 2. Solve the following for the indicated variable. a) Solve 4t +5=-7t-11 for t. b) Solve 7h-2=3h -10…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Solve the equations u = x + y, v = -x + 2y for x and y.

A:

Q: Use the method of undetermined coefficients to find one solution of y" + 4y′ − 4y = (4x² - 9x-4)…

A:

Q: (x² +2y2- 11x- 3y + 31 = 0 x+y+4 3D0

A: Given equations: x2+2y2-11x-3y+31=0              (i) -x+y+4=0              (ii)

Q: Q4:-Solve the following equations (choose tow only):- 1: x²y= - 2xy + 2y = 2x³e* 2: 2x?y= + 4xy + 3y…

A: Solution :- 1

Q: Solve ihe BVP: + 25y 0, (0) =-1 and (-)-4 B. E E E E

A:

Q: Solve the following equations: 7x1 – 4x2 + x3 = 1 -4x1 + 6x2 – 4.x3 + X4 = 1 Xi-2 – 4xj-1 + 6.x; –…

A: We have to solve the given equations.

Q: = S + t

A: here two variables are free

Q: Q1. Solve the following first order equations: (a) (r²y² + 1)dx + 2x²dy = 0, use the substitution ry…

A:

Q: Solve the following equation: 6:+ 4: -8 = (7: +1)(= -8) O A. 59,-59 О В. -59 %3D OC.O D. 59 E. 0,59

A:

Q: use the appropriate method b. ( 2x + 7)(0.3 x-9) = 0 1. Solve 3x2 – 18 = 0 -4.5x? + 3x – 10 = 0 a.…

A:

Q: Solve the following equations by Gauss-Seidel method. * 10a - 2b - c - d = 3 - 2a + 10b - c - d = 15…

A:

Q: Simplex Method to solve the following LP: max Z = +2x2 +4r3 +5r3 < 10 8. s.t. 311 +4x2 2x1 +2r3 < 7…

A:

Q: Q6: Use Gauss Seidel Method to solve the following equations and choose your own initial guess: 3x1…

A: Use Gauss Seidel Method to solve the following equations 3x₁ + x₂ + x3 = 10 x₁ + 5x₂ + 2x3 = 21 x₁ +…

Q: Solve the

A: Given: b) yk+1=k-k2-k3yk To solve: The given equation.

Q: Solve for B: 7х — 3 A + В x (х — 1) - O 3 O-3 O 4 O -4

A:

Q: 5y(4) + 3y(3) = 0; y(4) - 8y" + 16y y(4) - 8y = 0; +16y = 0;

A: The given equation is, 5y4+3y3=0y4-8y''+16y=0y4-8y=0. Concept- To find the solution to the…

Q: Use the method of undetermined coefficients to solve y" - 9y=4e³t

A:

Q: A. Solve the following DE by using exact equation method: y = x - y, B. Solve the following equation…

A: Q2. A) Given differential equation is y¯=x-y ⇒dydx=x-y ⇒x-ydx-dy=0

Q: 2x1 – 6x2 – x3 = -38 -3x1 - x2+ 7x3 = -34 -8x1 + x2- 2x3 = -20 %3D

A: Given: 2x1-6x2-x3=-38-3x1-x2+7x3=-34-8x1+x2-2x3=-20

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.