[(x – 2) y (2z-3)]= [(y+ z) 2 (x-1]

Q: Consider the equation y"-y-2y = 0. Assume that y₁ (1) = ¹ and y₂(1) = e² form a fundamental set of…

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Q: 1 Find the general form of solution of the first order equation U + 2u, = (x – 2t)u + 2t2 + 3tx -…

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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: A. Find the general solution of the DE: y" - 2y' +y = 6e'

A: Given A. y"-2y'+y=6et

Q: Find a particular solution, y,(x), of y(ª – y" = 12e3 – 5x + 2. -

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Q: 4. Find the value(s) of b in the quadratic equation x² + bx + 1 = 0 such that it has one solution.

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Q: (a) Solve the following linear equation by Cramar's rule:- x- y + 2z = -4 3x + y - 4z = -6 2x + 3y -…

A: a Given system of linear equation is x−y+2z=−43x+y−4z=−62x+3y−4z=4 Here, A|b=1−12−431−4−623−44 Here,…

Q: . Solve the yn+2+4Yn+1-5Yn coefficients = n2"+2" using method of undetermined

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Q: O Solve Cauchy Euler equation a'y"- 3ay/-2y = 0. %3D

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Q: 2x+2y-3z=5 X-y+2z=8 3x+5y-8z=-2 Reduce echelon form to solve

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Q: find the general solution of the given equation. 3y'' - y' = 0

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Q: The general solution of y' = Y can be written in the form = C

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Q: Find a general solution of y"- 2iy'+3y= 0.

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Q: (6x + 1)(,F – 2) Suppose that y'(x) = and that y(4) - 3. Solve for y(x).

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Q: - 3)²y" (x) - 3(x-3)y'(x) + 3y(x) = 2(x-3)^e², x > 3. Verify that y₁(x) = (x-3)³ is a particular…

A: Given the differential equation: x-32y''x-3x-3y'x+3yx=2x-34ex To find the solution of above…

Q: Find the general solution of (1+ x²)y' + xy = x=1(1 +x²)-/½

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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 DE x²y"+xy'+ (x²-÷) y=x³/2, given that Yı=x-1/2sinx and y2=x-1/2cosx are two solutions of…

A: Given the given DE is x2y"+xy'+x2-14y=x32. y1=x-12sinxy2=x-12cosx

Q: Use the graph to solve x* + x³ – 7x² – x + 6 > 0 y 12 -4 -2 0 4 x -6 12 y=x + x* -|7x² – x + 6 O…

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

A: This is a basic differential equation problem

Q: Find all values of a such that y = xa is a solution of y'' − 12x−2y = 0

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Q: Find the general solution of x?y – 2xy + x²y² + 2 = 0 by first determining a particular solution in…

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Q: 1. In each part, determine whether the equation is linear in x1, X2, and x. (a) x1 + 5x3 - V2x) = 1…

A: To check whether the equation is linear or not, we have to check the exponent of all the terms in…

Q: 2. Verify that e 2 is a solution of the equation y" -3y'+2y=0.

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Q: Q1// Solve by Graphics the mathematical model Маx Z %3D Зx1+ 2x2 s.t -x1 + 2x2 S4 3x1 + 2x2 s 14 х1-…

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Q: Solve (1- x2)y" +2xy'-2y = 0 on (-1,1) given that y1 = x is a solution.

A: Let us consider the given differential equation P(x) y''+Q(x)y'+R(x)y=0 Then the solution of the…

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: (7) Find the general solution to y = (x +y + 1)

A: Given differential equation is: dydx=x+y+1 Let us assume x+y=t 1+dydx=dtdxdydx=dtdx-1…

Q: Find the general solution of 2y"+3y+y=3sin.x+xe"

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Q: Transfer the Cauchy-Euler equation to a constant coefficient equation and find the general solution;…

A: We have to transfer the following Cauchy-Euler equation to a constant coefficient equation and hence…

Q: 2. Find the stability of the difference equation xn = Xn-1+¤n-2.

A: By theorem,            Let the 2nd order homogeneous differential equation is,…

Q: Find two linearly independent solutions of the equation (x-1)y"+y=O for |x|<1

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Q: utilize the characteristic equations method to solve the equation y''-5y'+3y=0 y(0)=3, y'(0)=-1

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Q: The quadratic equation y= ax + bx+c (a+0) can have at most one extreme value (local max or min) over…

A: Here given quadratic equation as y=ax2+bx+c Since we know the one extreme value of the quadratic…

Q: Find the solution of y' = (1 – 4x) y², y (0) = –1 in explicit form

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Q: 2) Find the general solution about the ordinary point xo = 0. Give the first 3 non-zero terms from…

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Q: a) Solve the following linear equation by Cramar's rule:- - y+ 2z = -4 x + y - 4z =-6 x+ 3y – 4z = 4

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

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

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Q: Find two linearly independent solutions of 2x²y" - xy +(-3x+1)y=0, x > 0 of the form y₁ =…

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Q: Find the general solution of: x² = y² QY_ dr

A: We have to find general solution of given differential equation.

Q: X-2y+3z=11 4x+2y-3z=4 3x+3y-z=4 Solve by  Gaussian elimination

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Q: 1 Find the general solution of x'y" +xy' -y= x+1

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Q: (g) Any separable equation M(x)+N(y)y' = 0 is also exact. %3D

A: Since you have asked multiple question, we will solve first one for you. If you want other question…

Q: Find the general solution of (2x –y) = 2y – x

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Q: Find the general solution of y"+25y=sec(5x)

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