Solve the following LP using two-phase simple max z = 3x1 +2x2 st x1 +2x2 212 x1 +x2 <5

Q: Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A…

A: Given Differential equation is x'' - 4x' + 4x = 4e2t

Q: 5. Eliminate the arbitrary constant on the given equation: -4xy? + x°y2

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Q: Solve the following nonhomogeneous ODES. (a) y" = -4y+ e2";

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Q: Write down the characteristic equation and find the general solution to x'' - x' - 2x = 0.

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Q: Find the general solution of the following DE in explicit form. y' =2+2/y-2x+11

A: Solution: The differential equation is y'=2+2y-2x+11 Suppose that v=-2x+y so that y=v+2x Then,…

Q: Solve the given Bernoulli DE: 3y' + 3y/x = 2x4y4

A: A detailed solution is given below

Q: - ydx+(x+ Jxy kly = 0 (Homogenous)

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Q: Find the general solution of the following ODE. y" – 2y' + y = e* x=²

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Q: Q2. Solve the following PDES ди 2. 2 ax + 3u = 2y - x ду du ди + 5 ax 3. 3 2u = sin x + (3y - 5x)² -…

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Q: 1. Eliminate the arbitrary constants on the given equation: y = C1 + C2e¯ -2x 2 Eliminato

A: Given

Q: Solve the following. IP 101 dt 2t +5 = 10, I(0)=0 = 2X 1. +3y dr ; r=1, 0=1 4. ydx+(3+3x-y)dy=o 2.…

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Q: solve the following P.D.E by separable method:

A: A) In this question, we need to find the solution of the partial differential equation by using the…

Q: 5 u 7. Su 12x 2 5t

A: In this question, we solve the heat equation with source term i.e. non-homogeneous partial…

Q: Calculate the first six iterates in the following iteration with xo = 1. Xn+1 0.3+ sin(x) -

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Q: Find the least order for homogen D. E. with constant coefficient which has the solution : 6.x3 +…

A: The nature of roots is given as:Corresponding part of C.F.Nature of roots of auxiliary equation1One…

Q: 1. 3(3x² + y²)dx – 2xydy = 0 -

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Q: Please solve the following higher order homogenous DE: a. y'' + 4y + 3y =0 b. y'' - 6y + 9y =0…

A: a. Consider the given differential equation, y''+4y'+3y=0 so the auxiliary equation is, D2+4D+3=0…

Q: Find the general solution of the following DE in explicit form. y'=2+2/y-2x +7

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: d. x+ 3y + 2z = 1 5x + 4y – 3z = 4 3x -5y - 4z = -1

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Q: Q2\ Find the general solution to the given Euler x2y" – 3xy' + 9y = 0

A: Explanation of the solution is given below...

Q: Solve the following set of equations using the Gaussian method.−2x1 + 3x2 = 5x1 + x2 = 10

A: Given −2x1 + 3x2 = 5x1 + x2 = 10

Q: Solve the following equation using Bernoulli D.E. a. Substitution method y = -x²y²cosx 3. +=y

A: The given Bernoulli differential equation is dydx+2xy=-x2y2cos x.....(1) We have to solve the…

Q: Solve the following evaation for a 2メ+S X +1 e 3De

A: We have to find the value of X.

Q: x²y" +xy' – 4y = 2x*

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Q: Find the DE of each of the following by eliminating the arbitrary constants. 1.) c2y2 = x(x-1)3…

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Q: Solve the following examples 1. 2xydx + (x² +3y² )dy = 0

A: First of all, we need to rearrange the terms of the given differential equation and follow the…

Q: Solve the following LPP using Two Phase Method. Max P = 4x1 + 7x2 Subject to 2x1 + x2 > 2 x1 + 3x2 ≥…

A: Given LPP is max P=4x1+7x2subject to2x1+3x2≥2x1+3x2≥3x1+x2≤4x1, x2≥0 Phase 1: The given problem is…

Q: Solve the DE: x²y" – xy' – 8y = 0

A: The Cauchy-Euler differential equation of second order looks like ax2y''+bxy'+cy=0. Auxiliary…

Q: y' + 2y = x³e-2x

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Q: Solve the following homogeneous ODE 3. y' = 2ху y² –x²

A: Given: dydx=2xyy2-x2...1 Let, y=vxSo,dydx=v+xdvdx

Q: y = 3 (y + 1)

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Q: Find the general solution of the following linear first-order ODE (1-x²)y' +2y-x=2

A: We need to solve D.E.

Q: Find the general solution of ylty = 2xcosx -cosX %3D

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Q: Solve the following equation by Gauss Seidel Method up to 2 iterations and find the value of 2. 27x…

A: We have to solve the following system of linear equations by using Gauss Seidel method up to two…

Q: Find the general solution of the following DE in explicit form. y' =3+2/y-3x +12.

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Q: Find the general solution of the following system: 1 1 sint x' 4 1

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Q: Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A…

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Q: (x² + y²)dx – xydy = 0

A: Here we will solve the given differential equation,

Q: 5x + 3y+9z= −1 −2x + 3y -z = -2 -x- 4y + 5z = 1

A: The following steps are used to obtain the solution of the system of equations by Gauss-elimination…

Q: Solve the following D-E 2) x- 2y = x³cos4x dx

A: Topic- solution of linear differential equations

Q: The general solution to the ODE x²y" + 2xy' - 2y = 0 is y = C1x + C2x-2. Use variation of parameters…

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Q: Use the substitution y = xm to find the general solution to: x2yn - 2xy' - 4y = 0. Show all of…

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Q: 2. Find ý for each of the following. c) x³y6 +e!-* – cos(5y) = y². am

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Q: Find the general solution of the following DE in explicit form. y' = 4+2/y -4x +5

A: To find: The general solution of y'=4+2y-4x+5. Concept used: Power rule of differentiation:…

Q: Find the general solution of the following DE. y' = 3 (y + 1)

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Q: Find the general solution of the following DE. xy² (y')² + y(x - 1)y' - x³ = 0

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Q: (D² + 16)y = 4sin3xcosx

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Q: Find general solution of the DE 4x2y′′ + 8xy′ + y = 0

A: Consider the given equation. 4x2y''+8xy'+y=0 Let substitute the value is y=xm. Now, find the…

Q: Find the torolrootsS 1.X +2=0 2x-3x+ム=O 3.X22=D0 4.(X-3)=-ム 5.(x+1)を 6.-3x+19X-2ム=O 7.Xー3=1 8.1.5X=6…

A: According to the guidelines issued by the company we are supposed to answer only first three sub…