Q4 : solve 1) ez = 1+ jv3 2) z3 – 1 = jv3 3) e2z-1 = 1

Q: 9. Solve d²x dt² + 4x + 5y = 1²; d²y dt² + 5x + 4y = t +1.

A:

Q: In the process of using an "auxiliary equation" to solve a homogeneous DE, the final result can be…

A: Depending on the type of roots of the auxiliary equation, there will be 3 different types of…

Q: Solve using Gaussian method 3x-2y+2z-w=2 4x+y+z+6w=8 -3x+2y-2z+w=5 5x+3z-2w=1

A: The given system of equation are as follows.3x-2y+2z-w=24x+y+z+6w=8-3x+2y-2z+w=55x+3z-2w=1

Q: Q14- Solve the equations to find x, y, z by Gaussian elimination : 3 x+z = 4 2 -3 x+3y - 2 5 X - 5 =…

A: Given: The given system of equation is,

Q: Solve the initial value problem -4sin(2t – 4), s'(0) = 100, s(0) = 0. %3D %3D dr2

A:

Q: 2. Find general solution of the DE y" + 3y" + 3/ + y = 0

A:

Q: 4. Solve the DE, = ! + 2(4), using the homogeneous method.

A: Given, dy/dx = y/x +2(y/x)3/2        .............(1) Assuming  y = vx Differenetiating y with…

Q: Solve using Gaussian method x-y+4z=10 3x+z=3 x+4y+z=11

A: Given:

Q: Solve the Cauchy euler equation 3x2+ 6x-6y = 3 + Inx d²y + 6x2-6y = 3 + lnx³ dx3

A: In the given question we have to solve the given Cauchy Euler equation. Method: the Cauchy Euler…

Q: Solve the Coout's linear wsuation by method. 2n, t0 x + X3 = 4 -3n, +4Xz -213 6.

A: To Determine :-  The linear equation by Crout's method . 2x1 + 0x2 + x3 =4-3x1 + 4x2 -2x3 =-3x1 +7x2…

Q: A solution of a DE which is not exact and falls under Case 3 i.e. a2 can alone be solved by b2 DE…

A:

Q: 12 of 25 Solve for x: V3x +6 +V4x – 5 — 5 3D 3 x = – 74+42V3 x = 74 +42V3 x = 74 – 42V3 x = 74 +42V3

A: Given:- √(3x+6) +√(4x-5) =3  To find:- Solve given equation for x

Q: use the jacobi method to ding approximate solution for x+6y-8z=-6.6 10x-3y+6z=8.6 x+15y-9z=0.8

A: Given x+6y-8z=-6.6           10x-3y+6z=8.6            x+15y-92=0.8 To find: The solution of system…

Q: 5. Solve Equations 2x+y+z=5,3x+5y+2z=15,2x+y+4z=8 using Gauss Seidel method

A: Stape by Step solution given below.

Q: 4. Solve the IVP: d?s t3, dt2 A. 20s = t5 + 200t – 100 B. 20s = t5 – 200t + 100 s(0) = 5,s'(0) = 10…

A: Given IVPd2sdt2=t3, s0=5, s'0=10sinced2sdt2=t3on integrating

Q: Find the general solution of: az əz 2, дх ду (1+ /z- x – y)

A: The given equation can be written as: 1+z−x−y∂z∂x+∂z∂y=2dx1+z−x−y=dy1=dz2          ......i

Q: 23. (1.4) Solve y +2 = (4x + 2y + 6)-'e2«+v+3.

A:

Q: Apply Gauss-Seidel iteration method to solve the equations 20x+y- 2z =17, 3x+ 20y –z =-18, 2x – 3y +…

A:

Q: Q1 : Find the solution of x, y, z by using Gramer's Rule. 3x + 2y – z = 1 x - y + 5z = -2 2x + y = 3

A: As per our guidelines we need to solve only one question. Please repost the remaining questions as…

Q: Q.4 Use the method of separation of variables to solve : xyu̟ +2u, =0, U(x,0) = 3x* . %3D

A: Standard partial differential is given as: p∂u∂x+q∂u∂y=r Lagrange method for finding solution for…

Q: use the Lagrangian method to solve: U=x1^(1/2)x2^(1/2) subject to 50=5x1+10x2

A:

Q: (c) Solve with the classical third-order Runge-Kutta method using h = 1.

A:

Q: Use the Gaussian Elimination method to solve: 1x + 2y +3z = 14 2x + 1y +3z = 13 2x + 3y + 1z = 11…

A: The given equations are: 1x+2y+3z=142x+1y+3z=132x+3y+1z=11 We need to solve the given system of…

Q: 6 6 Q1. Verify that y -20t e is a solution of the DE y' + 20y = 24

A:

Q: 6y" – 7y' – 5y = 2x³ + e¯* – 5 -

A: Ordinary differential equation involves the derivative of single dependent and single independent…

Q: 2. Use undetermined coefficients method to solve 1 yi = 4yı + 2 - 3e", y2 = 9y1 + 6y2 + 10e'.

A:

Q: 6. Use undetermined coefficients to find a general solution of -2x y" + 5y' + 6y = 3e¬2= +e3z

A: The given differential equation is y''+5y'+6y=3e-2x+e3x

Q: Solve for x,y,z:  3x +2y − z = − 1  − 2x − 2y +3z = 5 5x +2y − z = 3

A:

Q: Use Gauss Jorden method to solve and also verify the solution. 5x-2y+z=2 3x+2y+7z=3 x+y+3z=2

A:

Q: apply gauss jordan method to solve the equations x+y+z = 9 , 2x-3y+4z = 13, 3x+4y+5z = 40 plz fast

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Q: 14. dQ/dt + (2/10 + 2t)Q = 4 2(5 + t)² + C 5+t

A:

Q: Solve the following Eystem of equation by Gauss -Jacobi cind Gaus Seidel method Correct to three…

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

Q: Solve the value of x in the given equation _by Jacobi and Gauss-Seidel Method. 13x2 + 4x3 = 111 4x1…

A: Given the equation system  19x1-13x2+4x3=1114x1+22x2-13x3=-1288x1+8x2+17x3=10 We have to solve the…

Q: An Euler-Cauchy equation is given as x*y" +1.5xy – 0.5y=0, x(1)=5, 19 (9). 3 Solve the equation by…

A: Here, we have given that the Euler-Cauchy equation x2y''+1.5xy'-0.5y=0 and the initial conditions…

Q: 4. Solve Ar, = 3n2 + 4n - 1 with the initial condition r = 3. %3D

A:

Q: 5 solve the 1UP: y% 4y(2)+ 3y'= Y1)=e+ % ,uG) = et %

A:

Q: B. Solve the following svstem of equations by Gauss-Jordan method. 7. 10x – 2y + 3z = 23 2x + 10y –…

A: Given: 7) A system 10x-2y+3z=23 2x+10y-5z=-53 3x-4y+10z=33 To find: Solution of given system by…

Q: SOLVE A SYSTE M OF LINEAR EQUATIONS LU DECOMPOSI TION METHOD USING 2x + 2y +2 : 5 1X+ 32 : 5 EX +Hy…

A: Given 2x+2y+z=5x+3z=5-x+4y=2

Q: Use Gaussian Eleminetion to solve 20+ y + 2Z =8 3y + 3Z a-4 4¢ + 24 - Z = Iv

A:

Q: Solve by the addition method: 4x+5y+: = 12 2x-y+2: = 17 %3D x+2y+2: = O A. (2, -1, 9) O B. (4, -1,…

A: We have to solve the given system by addition…

Q: Solve the linear equation using Jacobi Iteration -2х — у + 5.5z %3 8.1 4.3х + 2y — z %3D6.8 x + 4.7y…

A: We need to find the solution of the system of linear equation…

Q: Solve by making the appropriate substitution

A: Given equation

Q: Solve the following using Gaussian elimination: 3x + 5y + 3z=1 4x + 7y + 6z=4 6x + 7y + 4z=2

A: system Ax=b is 353476674xyz=142 augmented matrix is  353147646742 R1← R1·13 =15311347646742 R2←…

Q: I have included one line of the whole solution in the questionnaire. Analyze if this included part…

A: y = ln(1-5y2 +y3) now differentiate it y' = (-10y+3y2 )/(1-5y2 +y3) here between (+) sign so there…

Q: Use the separation of variables method to solve 4uxx = Utt, 0 0 U1 (0,t) = u#(2, t) = 0 u(x, 0) =…

A:

Q: Use Gauss-Seidel method to solve for the value of x, y and z. 5x' + In 2y - 4/3z = 51.2118 2x - 5 In…

A:

Q: 2.Solve the following equations by Gaussian elimination method: 2x +y+z = 4 3 -x +-= 1 4 2 x +y- z =…

A:

Q: Solve by gauss elimination method: 15 x + y + z = 17; x + 15y + z = 17; x + y + 15z = 17

A: Consider the augmented matrix of the system.

Q: 8) Use Gaussian Elimination to solve: x +3y-z = 13 - 5z = 23 (4x-y-2z = 14 Consier 2x

A:

Q: 4. Verify that y=cx+e² +1 is a solution of the equation y=y'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.