Get the transformed equation 3x2 + xy + y² + 2x - 3y = 4 when the origin turns into (2, 1)?

Q: At which iteration shows that the root of a nonlinear equation is Xr = 1.2021 when a = 2 and b = -1…

A: We need to find at which iteration shows that the root of a nonlinear equation is Xr = 1.2021 when a…

Q: Find the general solution of each ff Higher-order DE using Reduction of Order  1. (2D2 + 3D -2)y=0

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Q: Obtain the general solution valid near the origin: х(х-2)y1+2(х-1)у - 2у %3D0

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Q: 6. S -3dy 2y2+14y+70

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Q: 8x²y" + 10xy' – (1+ x)y = 0

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Q: Find the solution of 2y-y² sec²(xy²) + (2x − 2xysec² (xy²))y' = 0 given y(1) = 2.

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Q: Find the general solution to y"-y"+y-Y3D0

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Q: a) Solve y' = 3x² + y, y(0) = 4 by choosing step length 0.1 for y(0.2) by Euler's improved method

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Q: 3x – 3y+ 4z = 6 4х - 5у+2z%3D10 x- 2y +3z = 4 =D4

A: Given the system of equation is  The matrix of form of system is

Q: SOLVE X²y" + xy² - (4x² + 1 ) y = =0 BY BESSELS METHOD.

A: As per the question we are given a second order linear homogeneous differential equation and we have…

Q: Čonvert the following equation into standard form. 7x y = - - 3 %3D 2 [?]x+ [ ]y = [ ]

A: The given equation is y=-7x2-3

Q: find general solution. dr/dt= -2tr,         r(0)=ro

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Q: Transform the equation -y^2+8y+x+12= 0 into its standard form

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Q: x(1-х)у" - Зу' + 2у %3D0

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Q: x+ y+ 2z=9 2x +4y - 3z = 1 3x +6y-5z 0 [1 1 29 2 4-3 1 3 6 -5 0 to the cecond to obtain

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Q: Solve for x, y, z and w by Gauss elemination Method. Given: 12x-8y+6z+10w=26

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Q: 11.2) SOLVE : 5x²y" + x (1+x) y ² - y = 6 by Frobenius Method

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Q: B. Find the first and second derivatives of i- y =-10x+3cosx+(2x+3)(5x-4x) 5x+1 ii- y= 2x

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Q: Solve by reduction of order. Find y2 and y (x² + 1)y" – 2xy' + 2y = 0 yı = x -

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Q: Verify that y, = e2x and y2 = e5×are solutions of у" - 7у' + 10у %3D 0

A: We have to verify that the functions y1=e2x and y2=e5x are solutions to the given differential…

Q: Find the general solution for the homogenous equation of y′′ − y′ − y = 0.

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Q: Obtain 2 linearly independent solutions valid near the origin for x>0 2хy" + 5(1 — 2х)у' — 5у %3D 0.…

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Q: b) p(x) = x* – x³ – 6x² %3D y-axis 4+ 3+ 1-- X-axas 1 3. 4. -1 -1 -2 -2 -3 -4.

A: We have to draw the graph of px=x4-x3-6x2 Factorizing the curve:…

Q: use the two phase method to solve the lp MAX -  4x1  +  x2 - 2x3 st --    2x1 + 2x2 + x3 = 4 x 1+…

A: We can solve this using two phase method

Q: z² - xy = 2 at the point (2, 1)= %3D

A: We have to find the slope of the line tangent  to the given curve.

Q: y" -4y' + 13y :

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Q: Solve for y 512y12x+12 529y2x+2 V4y8x+4 Show all steps! 32y5x+5

A: The explanation of answer as follows

Q: Q1: Solve the second order linear homogenous equation: y" – 2ky' + 4y = 0 k > 2 -

A: According to our guideline we can only answer first question and rest can be reposted.

Q: b) Find particular solution of х*у %3D- (х* - 1) у, У(1) %3D 1.

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Q: Find that solution of y’= 2(2x-y) which passes through the point (0,1). Use Linear Equation of Order…

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Q: 5. Find the second solution by reduction of order method: (1- 2x? y" + 4xy' – 4y=0 y, (x)=-2x

A: Differential equation and it's solution

Q: Find two linearly independent solutions of y" + 3ry = 0 of the form Y1 = 1+ a3x³ + a6x® + · .. Y2 =…

A: We find two linearly independent solutions of the given differential equation  y"+3xy=0.......(1)

Q: Solve by Chain Rule f(y) = /2y + (3y+ 4y²)³

A: Chain Rule of differentiation :      If f(y) and g(y) both are differentiable function and F(y) is…

Q: Find the equation of a line perpendicular to 3x – 2y = 16 that passes through the point (9, 4). - Oy…

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Q: Solve for the orthogonal tragectories y²= 4x (1- kx) %3D

A: This question is based on differential equation.

Q: Solve the given problem: y'' + 4y= 3sin2x

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Q: (4) B/ If Ø = (x³y²z) and A = 2xz 1-3y2j+ 3xy²k Find ?у ?х the point (2, -1, 3)? at

A: Given:        ϕ=x3y2z         A=2xzi^-3y2j^+3xy2k^         ϕA=x3y2z2xzi^-3y2j^+3xy2k^…

Q: 2. x (х — 2)у" + 2(х — 1)у' — 2у %3D 0 |

A: Power series solution of the differential equation

Q: What is the particular solution of 2xyy' = 1+y2 , when x =2, y = 3

A: The given differential equation is solved below in detail.

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

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Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

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Q: What is diffential equation of y"-5y'+4 when y(0)=1 and y'(0)=1

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Q: Find the equation of a line parallel to x = -8+ 2y that passes through the point (8, –2). Oy = -x –…

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Q: Solve (x² - 4xy-2y²) dx + (y² - 4xy - 2x²)dy = 0 By using the method of the exact equations 1-…

A: The given problem is to solve the given differential equation by using the method of the exact…

Q: a. Find that solution of y' = 2(2x-y) which passes through the point (0, 1).

A: SINCE YOU HAVE ASK MULTIPAL QUESTION, SO WE WILL ANSWRING ONLY FIRST QUESTION.

Q: 1 Solve 1 3D7 for z. y. 1-

A: 1x-1y-1z=7

Q: Find the general solution of y" + 2y=ex +2.

A: The Auxiliary equation is D2+2=0 solve for D Therefore  D=±-2=±2i Therefore the solution is…

Q: Solve for the derivatives. For 16-20. y = -7x5 + 3x3 – 2x а. 35x4 — 9х2 + 2 b. 35х* + 9х3 + 2 с.…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Find 1- y dy y+2 using the substitutionu +5= √√y+2.

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.