Answer ALL questions Q1/ A) By using carmer's rule , find values of x and y for the following equations -у + 3х %3D8 2x + 4y =10

Q: Find solutions to the equation 2x+3y=6 for the values x=0, y=0, and x=−3.

A:

Q: хdу + (1 — 3х)ydx %3D Зxdx

A: The given differential equation is: xdy+1-3xydx=3xdx Rearranging this given equation: dydx+1x-3y=3…

Q: Find the value of b and c in the form x2 + bx + c = 0 with solution x = 2- V3 and %3D x=2+ 3.

A: b= -(sum of solution)  c= product of solution

Q: If y = ex , then y equals 2x (A B none of the given choices - 2x (c 2y D v3

A:

Q: What is the value of x+y+z? Find x and B, if B =[2x+3x+2 is symmetric. -3

A:

Q: b) Using Gauss Jordan, solve the following equations. 5x + 2y =2 2x + y - z =0 2x + 3y – z =3

A: Total Equations are 35x+2y+0z=1→(1)2x+y-z=0→(2)2x+3y-z=3→(3)Converting given equations into matrix…

Q: First, solve the following IVP, y' = (15x + yr1 . 15 , y(0)=1. Then calculate y(12).

A:

Q: Obtain the solution of the following equations. 1. (1 – x)y' = y2

A:

Q: ty' + 2ty – y³ = 0

A:

Q: PART A If WY = 15x - 2 and XZ = 9x + 10, solve for a and find WY. W. Y

A: Given, An isosceles trapezium  We know that the Diagonals of Isosceles trapezium are the same

Q: 5. (D² + 4D + 4)y = 0 ;when x = 0,y = 1,y' = -1

A: Given equation is, D2+4D+4y=0, x=0, y=1, y'=-1 Now, write the auxiliary equation for the given…

Q: Use the method of variation of parameters to determine a particular solution to the given equation.…

A:

Q: Replace the Cartesian equation with equivalentpolar equations. x2 + xy + y2 = 1

A:

Q: Solve the following equation by using separation variable method: y(x,0)=10 1>0 0<r<A y.(0,1)= y,…

A:

Q: (c) Solve the following IVP by separating variable. 2(y - a)da + (3a + 4r + b)dy = 0 Using initial…

A:

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

A:

Q: Which of the following equations is the DE whose solution correspond to y = C1sin3x + C2cos3x + 9x²…

A:

Q: Using the method of separation of variables, find the solution of the following equation: = u, given…

A:

Q: Solve the following equations  by the method of undeterminedcoefficients. y" - 3y' - 10y = 2x - 3

A: The solution equation is obtained by the equation y=yc+yp Take the characteristic equation of the…

Q: Solve the following IVP and show the details of your work: -3+2y (9r-2)e, y(0) 1. (0)=-6 %3D

A: We have to solve the given  IVF                                    y''-3y'+2y=(9x-2)e5x , y(0)=1 ,…

Q: If yo is the solution of the equations xy' + 3y = x, y(1) = 2, %3D determine the value of yo(2).

A: Given a first-order differential equation,                             .....(1) condition  y(1)=2

Q: Solve the given IVP: y" + 7y" + 33y' – 41y = 0; y(0) = 1, y'(0) = 2, y"(0) = 4.

A: The given initial value problem is                                      y'''+7y''+33y'-41y=0 ;…

Q: (b) Find E(Y(k).

A:

Q: 2. verify that each of the following equations has the indicated solution : • y" +4y =0 y=ae2x+bxe2x

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems. First problem:…

Q: The pressure P, volume V , and temperature T of a van der Waals gas with n molecules (n constant)…

A: Given P+an2V2V−nb=nRT, Where a, b and R are constant. We have to calculate ∂P∂T and ∂V∂P.…

Q: If y = ex, then y equals 2x (A - 2y В +3 C) none of the given choices - 2x D E

A:

Q: Find the solution of the dy Qoec() +y d'ifferential equation.

A:

Q: Find the values of m such that y = e is a solution of the following equations y"+4y'+13y = 0

A:

Q: If y* = ex , then y equals 2x (A B none of the given choices – 2x y3 - 2y D +3 2y E

A:

Q: Find the solution to the Bernoulli Equation. 2x³y = y(y? +3x?)

A: The solution is given as

Q: Replace the Cartesian equation with equivalentpolar equations. xy = 2

A:

Q: Use the method of variation of parameters to determine a particular solution to the given equation.…

A: Solution :-

Q: Observe that y = x is a particular solution of the equation %3D 2x²y" + xy' – y = 0 and find the…

A:

Q: Solve the formula for the specified variable. W=X+Xyz for z

A:

Q: The solution of the following IVP:y' = y³ x ex´ , v(0) = 1

A: The given differential equation is variable separable differential equation of first order. First we…

Q: Solve the given PDE q2r-2q(1+p)s+(1+p)2t=0 ,use Monges only  , Only Handwriting Solution

A:

Q: Find by the LU factorization method solution of the following equation (2x + 3y = -1 (x=y=1

A:

Q: Solve the following set of equations by using Gauss-Jordan. Then ONLY write down the value for x-y…

A:

Q: Solve the given LDE using the method of UNDETERMINED COEFFCIENTS.  1. y''' - y' = 4e^(-x) +…

A:

Q: The equation r = 3tanosece ,expressed in rectamgular coor dinates is given by: (a) y² = 3x (b)V3x =…

A:

Q: Solve the following three equations by Gaussian Elimination: x - y + 3z = 2 2x – 3y + 9z = 3 -x + y…

A: solve

Q: Find the general Solution of DES 2x y Y' = x? +2y} %3D

A: SOLUTION-

Q: Determine C, and C, so that y(x) = C¸ e²* + C2e* + 2sinx will satisfy the conditions y(0) = and…

A: Put x=0 in y(x).

Q: Determine the solution set of the following equations using linear equations of ydx+(3x-xy+2)dy=0?

A:

Q: Given the following equations, what will you mutiply the second equation by in order to eliminate d?…

A: From the given equation: 2c+6d=14    ....(1)12c-3d=8    .....(2) To eliminate ''d'', the coefficient…

Q: 3. Find a second solution to y" – 25y = 0, given one solution y1(x) = e5z. %3D %3D

A: Given differential equation is y''-25y=0 &amp; y1x=e5x be one solution of the differential equation.…

Q: Use the equations to find az/əx and əz/əy. x2 + 2y? + 3z? = 1 az ax az ay

A:

Q: Solve the following equation: y-1 ty%3D1 y+3 O A. -4, 0 B. 4, -1 C.-4-1 O D.-4, 1 O E. 4, 1

A:

Q: The solution of the IVP y" + 9y=0, y(0) = 1, y'(o) = 0, is %3D

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.