Y = x2 − 4x + 3 Approximate any intercepts. (If an answer does not exist, enter DNE.) x-intercept     (x, y) =      ?     (smaller x-value) x-intercept     (x, y) =      ?     (larger x-value) y-intercept     (x, y) =      ?

Q: Use variation of parameters plem) to find a particular solution to y" – 2y' – 15y = e -3t %3D You do…

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Q: (2x+1) (x+1) y"+2xy' - 2y = (2x+1)- A solution of the homogereous Jorm is → y= (x+1)-1 Find the…

A: The differential equation is provided below, 2x+1x+1y''+2xy'-2y=2x+12 And one of its solution is…

Q: Q4: Use undetermined coefficient annihilator approach to solve. y"" – 5y" + 6y' = 10x² – 5x – 6 +…

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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

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Q: a) 2xy dx+(1+x²)dy=0 b) y'+(4/x)y=x* ------by exact method ---by linear method

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Q: Exercises: 1. Show that y=3e-e is a solution to y"-4y-D0

A: Explanation of the answer is as follows

Q: [2] Determine homogeneous the roots of the auxiliary equation y=x²-ecosx for a linear equation with…

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Q: ACTIVITY3 Direction: solve and analyze each of the following problem in neat and orderly manner. Do…

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Q: solve the DE y'' - 5y' + 6y = 32xe2x, y(0) = 1, y'(0) = 0

A: *Concept:- the give differential equation is Linear differential equation of higher order with…

Q: Solve the equation. (2x² + y)dx + (x²y³ - x)dy = 0 An implicit solution in the form F(x,y) = C is =…

A: Given differential equation   2x2+ydx+x2y3-xdy=0          ------- (1) To find the solution of the…

Q: Y= CSCX -y coTX ycotx Solve: • First order Linear Form +PCX)y = Qx • P) and Q) xp Integraning Factor…

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Q: SOLVE : uoTienbe je120 (6x2 +4xy +y2)dx + (2x2 + 2xy -3y2)dy =0 2x³+2x3y+xy²-y³=c 3x2+2x?y+xy2+y°=c…

A: We need to find the solution of this exact differential equation

Q: В. NON-HOMOGENEOUS HIGHER ORDERED LDE 1. (D3 + 5D² + 3D - 9)y = 64x²e-3x 2. (D³ + 13D - 34)y = 25x2…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Obtain the particular solution of (3x2 - 2y2)y' = 2xy; x =0, y=-1.

A: We have to solve

Q: 5x-y2 2xy+3y2" c. xy? - 2x5 + 3y³ = C d. xy? + x5 + y3 = C 29. Find the general solution in implicit…

A: We have to find solution of exact differential equation.

Q: IV. Exact equations dy 1. x*-2y-3xy² (Ans: 2xy + +글x2y2 + 6y -=C) dx 2x+y²+3x²y+6 3

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Q: Solve the equation. (3x y+2)dx+ (4x°y +y 1)dy D0 An implicit solution in the form F(x,y) = C is =C,…

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Q: (y + 1)dx + (4x - y)dy 0

A: Explanation of the answer is as follows

Q: A. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS d³x 3. dt3 d?x -2 dx - 35 = 0 dt 4. (D³ – 4D² + 4D)y…

A: To find the solution of homogenous linear equation with constant coefficient we assume the trial…

Q: x+y-4) dx-(3x-y-4)dy=0; when x=4, y=1 Solve using Coefficient linear in the two variables

A: ( x+y -4)dx-(3x-y-4) dy = 0 , x=4                                                               y…

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A y = x-(1 – e!-*) B x = y-(1 + e!-x) 2y = x³(1 + e!-2)…

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Q: Find the general solution of (xy² + x²)dy + a. 3xy + y3 = C b. 3xy - y3 = C xydx = 0 с. -Зху - уз с…

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Q: y-z z-x x-y General solution of p +q =*y yz xy

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

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Q: 2x + y + 2z = -2 Solve using Gaussian elimination: x - 3y + 4z = 3 4x – 6y + 7z = 9

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Q: Solve y' -y = y*e* A) y(c - x) = e", y = 0 8) y(c - x) = 0, y = 0 Cy = e, y = 0 D) y(e - x) = e", y…

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Q: (2x+3)y'= y+y²(2x+3)^½ Linesr equation or bernoulli equation

A: The given differential equation is 2x+3dydx =y+y22x+312. The standard form of Bernoulli's…

Q: Obtain a family of solutions. 1. (x-y)(4x+y) dx + x(5x-y) dy =0 Ans: x(y+x)² = c(y-2x) Show complete…

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Q: Solve the equation 3x(xy – 2)dx + (x³ + 2y)dy = 0 ƏM = 3x2 ду Ne 3x2 Sol/ əx f(x, y) = (3x²y – 6x)dx…

A: From the given differential equation: 3xxy-2dx+x3+2ydy=0 As we know that the differential equation…

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: dy The equation - y = x², where y(0) = 0 dx a. is homogenous and nonlinear, and has infinite…

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Q: What is the general solution of (x2- xy + y2)dx – xydy = 0? %3D A. (x- y)ey/x = c B. (x- y)e*/y = c…

A: To find the general solution of the below differential equation. x2−xy+y2dx−xydy=0

Q: (2х + 1)у" — 2у - (2х + 3)у %3D (2х + 1)2; У1 —е-*

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Q: Using the variation of parameters, find the particular solution of (D2+1)y=secx

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Q: d²x - 4x = 0 dt² ind the solution. y = c,e-2x + c2e-2x x = c;e-2t + Cze2t t = ce-2* + C2e²x y =…

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Q: (x+2y-1)dx+(5-2x-y)dy=0; y(0)=0, implicit solution  Also: a) Value of y if x=2

A: By arranging the question and then taking boldfaced ratio we'll get the answer. Here,I am providing…

Q: 2. Solve (y 2)dx (x- y 1)dy 0 using the method for linear coefficients in two linear variables. %3D…

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Q: Find the fixed points for the given equation, and test for stability Xn-1 (i) xn = 1+ Xn-1 (ii) xn =…

A: To find - Find the fixed points for the given equation , and test for stability xn = xn-11 + xn-1…

Q: Q.1 Using the method of elimination, find the general solution of dx = yt - the system - yt-2x dr

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Q: y =-x² +2x+7 y =-2x +2 → Solution(s): %3D S y = x + 2x –3 %3D y= 2x+1 %3D → Solution(s):

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Q: 02 (solve de) * y' = x2 + (1+y²) Arctan x +x²y2 when: x =1, y = 0 %3D %3D %3D Your answer 02…

A: y' = x² + (1+y²) arc tan x + x²y²  So, y' = (1+y²) arc tan x + x² + x²y² So, y' = (1+y²) arc tan x +…

Q: Find the particular solution to y''-y'+y = 2sin(3x)

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Q: A particular solution of y -2y + y e':

A: Given differential equation:     y'' - 2y' +y = et We use method of undetermined coefficient to…

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: General solution of dy = 4x+xy² Present your answer in the form /(1 – x²)(4 + y²). Avoid dx y-x²y…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Solution 2 (i) f(x,y)=5x'e" +3xy– 2x' +3ху - 2х° of of ây дхду дудх

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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) =…

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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.