2. a) Solve the simultaneous equations 4x-3y =-1 and 5x -4y = -2. 25 medals in dance(D).

Q: Solve (D2-4D+3)y=e2x

A:

Q: Solve by the elimination method. x+y=2 x-y36

A:

Q: 3 Vx + 2 + 12 = 18

A:

Q: Solve -2 12] 1 32 x= 3–1 1 5 via LU with pivoting.

A: Given -2121323-11X=-250 Let A=-2121323-11 Using  Gaussian elimination R2=R2--12R1⇒l21=-12…

Q: Solve the equation их + иу + и %3D0, u(х,0) — х?.

A: Partial differential equation

Q: 1. S, V4– x²dx. -2

A:

Q: The number of solutions of the simultaneous algebraic equations y = 3x + 3 and y = 3x + 5 is

A: We have to solve given problems:

Q: 3x2+15x+18 has exactly two solutions. Enter the smaller of the two solutions

A:

Q: 5. Solve, using the method of variation of parameters: a²y" – 2ry + 2y = x*e*

A: x2y'' -2xy' +2y =x4ex To solve: Using method of variation of parameters.

Q: 1/2x+1/2y=-1?  x-y=-4   need to solve using solution method, and specify as an ordered pair?

A:

Q: 4. Solve the equation y'=2x+1/3y+x+2.

A: According to question given:y'=2x+13y+x+2We have to solve the given differential equation

Q: du Solve the equation "u(0, y) = 8e» = 4. by the method of separation of variables.

A:

Q: Solve for the general solution of (D: - 5D + 6)y = 4e* using method of undetermined coefficients.

A:

Q: Practice question 2

A: Consider the given equation

Q: 5. Solve, using the method of undetermined coefficients: y" + 2y' = 2x + 5 – e-2= %3D

A: First we shall get particular solution of y''+2y'=2x+5. Using method of undetermined coefficients y…

Q: solve by a method of either addition or substitution  a. {3x-y=4      2x+y=1 b. {2x-7y=2…

A: We have to solve the system of equations using the method of substitution.

Q: Solve by the substitution method: x + 2y = 0, (x - 1)2 + (y - 1)2 = 5.

A: Given:  x+2y=0                                          ....1x-12+y-12=5…

Q: 1. Solve the equation y2 + 6x = y(3y – 2x)y'

A:

Q: Solve by the elimination method. 2x-y= -1 +5y = 49

A:

Q: 11) Solve by Substitution a. b. -4x – 2y =-1 y=-2x – 4 x+3y=-17 -8x + 8y =-24

A:

Q: 4y = 2x +3

A:

Q: How do u solve y = x – 3 y = 3x + 1 In equal Values?

A: Given y = x-3 and y = 3x+1

Q: 1. Solve by graphing  a) 3x - 2 = 2y   b) 5x-5y=10

A: See the attachment

Q: Distinguish the number of solutions. Distinguish the solutions. -6x – 4y = -4 3x + 2y = 2

A: Given: The system of equations, -6x-4y = -43x +2y = 2 To distinguish: The number of solutions of the…

Q: 15.* Solve max -x? – xy-y? x – 2y < -1 2x +y 2 2

A:

Q: 5. Solve y" - 3y' + 2y = 2et, y(0) = 2, y'(0) = -1

A:

Q: Find Solution qUP : xlo)=2 4 (:) gruer 3. -3 - %3D

A:

Q: ai) Solve explicatly dy zy 2X txe 17 =

A: Given equation is dydx=2yx+x2ex, with initial condition y1=0. Solve explicitly.

Q: 2. Determine the number of solutions algebraically. x+ y= 3 -2x-2y -14

A: Given x+y=3 -2x-2y=-14

Q: 2) Solve for x and y. 45° 13V2

A:

Q: 10. Solve the equation (D² - 3D + 2)y = 16.

A: Solution

Q: solve the IVp. (2x+3)y 4+52x+3, y(-D=0

A:

Q: Find the general solution and particular solution (2X-リ メ

A: Given:     2x-1y''-4xy'+4y=2x-1x2

Q: 8) How many solutions does the equation a. 0 b. 1 X+5 x-3 IX 1 || 4 x²-3x C. 2 d. 3 have?

A:

Q: What is the exact solution to the equation e2z+1 = 7?

A: Given,           e2x+1=7

Q: Solve the equations by Gaussian elimination: 4x + 6y – 2z = 8 6x + 9y – 3z = 12 -2x - 3y + z = -4

A: Solution using Gaussian elimination is given below

Q: Find the solution of y' = 2(2x-y) which passes through the point (0, -1) the answer should be y=2x-1

A:

Q: Solve the simultaneous equations y = x + 6 and y = 2x² algebraically and show the result…

A: First equation represents a straight line and second equation represents a parabola symmetric about…

Q: Solve the DE with general solution m''-3m'+2m=0

A:

Q: Solve the 2-step difference equation 2n1-1 = 2, n1 = 1. %3D 3 3

A: to solve the given equation

Q: Please help me solve this

A: To solve for y

Q: (c) Solve the general solution y' + (cotx)y = xcscx

A:

Q: -5x+y3-3 3x -8y 24

A: We have to solve the given equations

Q: Solve:  16x = 1/4-8/x a.) -2  b.) 2  c.) 0  d.) -4  e.) 4

A: Given equation

Q: 2.What are the solutions to the equation 4x^2+ 9x+5 = 0? Explain the method you chose to use.

A:

Q: Solve using method of undetermined coefficients: y" + 4y = e3x. %3D

A:

Q: The equation – 9y³ + 21y? – 10y = 0 has three solutions. Find all of them. Enter your answers as…

A: Please refer the attached image for complete solution.

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.