Solve. (Order your answers from smallest to largest x, then from smallest to largest y. If there is no solution, enter NO SOLUTION.) x2 + y2  =  100 x2 − y2  =  −28 (x, y)  =          (x, y)  =          (x, y)  =          (x, y)  =

Q: Solve for the correct answer and show complete, detailed solution. Critical point of y= xe* а. 0,0…

A: The given function is y=xex

Q: 2Y+ 3/4X=Z/3

A: The given expression 2Y+34X=Z3 we have to solve the expression for X,Y and Z

Q: Find the solution to x’(t)=2x(t), x(0)=3

A: We have to solve the above differential equation.

Q: Solve for x, y, and z. Must show all the steps 2х + у + z%3D 2 -y + 3z = 8 2z = 4

A: To solve for x,y and z.

Q: 3. X+Y)/4=5Z

A:

Q: Solve the equations to find x, y, z by Gaussian elimination : x-x+z =4 x + 3y-을-7 3 X -3 X y-4z 5

A:

Q: 5. Solve the equation * SHOW YOUR COMPLETE AND CLEAR SOLUTION. (»^)² + (x – 2x+ ) y' +x--xt = 0 |…

A:

Q: The solution of y = 5y + e 2"y2, y(0) = 2 satisfies:

A:

Q: Use the separation of variables method to solve 4urz = Utt, H 00 ur (2, t) = 0 ur (0, t) = u(x,0) =…

A:

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

A:

Q: (a) Form the difference equation whose solution is yk = c1 + (c2+ csk)(-1)*, where c1, cz and cs are…

A: Given that the solution is yk=c1+c2+c3k-1k. To find the difference equation of this solution: For,…

Q: 2. Solve IVP y" – 4y' + 4y = 0; y(1) = 1, y'(1) = 1 Cind a general solution

A:

Q: Find the solution to x' = y y' = 12x + 1y if x(0) = 0 and y(0) = 8

A:

Q: find the explicit solution of y' +xy = x√ y

A: This is a basic differential equation problem

Q: 3. Find the number of non negative solutions to x +y + z + w = 21.

A:

Q: The solution of y" = - y, y(0) = 1, y'(0) = 0 is %3D

A:

Q: Find two values of r such that y =x" is a solution of x*y" + 4xy' - 18y = 0 , x> 0. O A. r= -9, 2 O…

A:

Q: y=c,J,(V3x) +c,,(/3x)is solution for x?y "+xy'+ (9x² –3)y=0

A: False

Q: Solve the IVP: xy′ +(2x−3)y = 4x^4,  y(1) = 1 and y′′ +5y′ +6y=0, y(0)=0, y′(0)=3

A:

Q: 2. Use separation of variables to solve (a) y' = -2y, y(0) = 1 (b) 4y' = y², y(0) = 4 %3D (c) y' + y…

A: Note:  "As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Q1; Use Gauss-elimination method to solve the set of linear equations: 3x + 2y+4z = -1 x+ y+z = 1 2x…

A: The objective is to use gaussian elimination method to solve the set of linear equations.

Q: Find the solution of y' + p(x) = 4x if y(0) = 3 and where

A:

Q: Solve using GAUSS-JORDAN ELIMINATION MATHOD ONLY. x- 2y-3z 0 x+4y +4z = 10 3x +7y +9z=4 -w-2x-4y-6z…

A:

Q: Find the particular solution of r*y – y y+1 ; y (3) = -1

A:

Q: Find the particular solution: y" + 16y' = 0, when x = 0, y = 0, y' = 0, y" = 1

A:

Q: Solve. (If there is no solution, enter NO SOLUTION.) y  =  x2 + 4x + 4 x + 2y  =  −1…

A:

Q: Q1; Use Gauss-elimination method to solve the set of linear equations: 3x+2y+4z = -1 x+ y+z = 1 2x –…

A:

Q: Use the method of separation of variables to solve yu, + xu, = xyu , U(x,0) = 3e*

A: In this question, we solve the partial differential equation by using the separation of variable as…

Q: Solve for x and y simultaneously 6-2x = 6xy+7y²=0 and 3-2x-3y=0

A: The given equations are 6-2x=6xy+7y2=0 and 3-2x-3y=0 So from the 2nd equation we get x=-3y+32…

Q: Solve by the addition method. (If there is no solution, enter NO SOLUTION. Use the parameters x and…

A: Given,  The system of equations  3x+7y = 25  4x-3y = 21  We have to solve the system of equation…

Q: Find two values of r such that y =x' is a solution of x*y" + 4xy' - 18y = 0, x> 0. O A. r= -6, -3 O…

A: Given differential equation is a linear, homogenous differential equation with variable…

Q: solve. y'−( 1/x) y = x^3, where x>0

A:

Q: Particular solution of y' = x+xy²/4y, y(1) = 0

A: Given differential equation- y'=x+xy24y   , y(1)=0 We need to find particular solution of the given…

Q: Solve using Gauss-Jordan elimination x+y+z=2 -x+3y+2z=8 4x+y=4

A: Topic = Matrix

Q: Solve y"-xy' - By = 0, x>0 A) y = e+ B) y = c,x* + C) y= + D) y =c,3r*+

A:

Q: Find the general solution to x*/ = x*y – y°.

A:

Q: Solve. (If there is no solution, enter NO SOLUTION.) y  =  x2 − x − 10 y  =  3x + 11…

A:

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

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

Q: Solve x=y=z=w=0 W x - X + y Y 2y + + Z T -2 3z - 22 + + + W || ω = W - 5ω = 4 3 3 3

A:

Q: A Find the general Solution of y"ty=2xcorx -Cosx %3D

A:

Q: Solve the IVP: y" + y' = 0 y(n) = 0, y'(1) = 2, y'"(n) = -1

A:

Q: X-+ Solve y(x) = Fow + by First Finding Kalkit l,FX,t, A) and Solution when FW=e2X FN = e=X

A:

Q: The particular solution of y' +y = y² when x = 0,y = 2

A: Using variable separable method

Q: Solve the equations to find x, y, z by Gaussian elimination : x+z = 4 x+ 3y -=7 = 7 2 2 y-4z = 5

A: In this method we first form the equation in the matrix form. After that we have to reduce the…

Q: 7. Find the solution of y' -= a. y = ce x - 3 y = ce*+; — се х 3 с. у%3D сех 3. d. y = 1 — сех +. 3…

A:

Q: Solve for x, y, and z. 2x + 2 16 (6 - y) -y 4 y z 3y -4z 20 16 X = = Z

A: x=2,y=2,z=-4.

Q: The particular solution of y' - y = -x when x = 0, y = 3 is a. y = 2x + 3e* + 2 b. y = 3x + 2e* + 1…

A: This question is based on first order differential equation.

Q: Solve -) y''-y'- 2 y = 6 x e2x - 2 e*, y (0) = 1, y' (0) = 1 %3D y''- 2 y'+ y = x (e - e*), y (0) =…

A:

Q: 2Y + 3/4X=Z/3

A: To solve for x, y, and z.2y+34x=z3

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.