W = {(x,y) ER?:x+ y=0} w= {(x,y) €R2:x+y=3} w = {(x,y) €R2:y= mx} O w= {(x,y) ER?:x=y}

Q: Q: Find the solution of x, y, z by using Gramer's Rule. 3x + 2y - z = 1 x- y+ 5z = -2 2x + y = 3

A: The given system of equation is  3x + 2y -z =1 x - y +5z =-2 2x +y =3

Q: Explain particular solution of the forced system                     x'' = Ax + F0 cos wt

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Q: x' = (C )x ´sec X + 0, 1

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Q: Find the solution to the IVP.y = cscx – ycotx' y(÷)= 1 ysinx = x+ 2 ysinx = x + 1- I 2 ycscx = x +…

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Q: x(x – 2)y" + 2(x – 1)y' – 2y = 0

A: Solution: x(x-2)y"+2(x-1)y'-2y=0 Solve using the series method: A linear homogeneous ODE with…

Q: Obtain the general solution valid near the origin: x(x − 2)y" + 2(x − 1)y' − 2y = 0

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Q: Minimize c = 2x + 2y + 3z subject to x      +  z ≥ 140 2x  +  y     ≥ 70     y  +  z ≥ 70 x ≥ 0, y ≥…

A: We are given the following problem. Minimize c = 2x + 2y + 3zsubject to x      +  z ≥ 140 2x…

Q: f(x, y, z) = eVx2 + y2, E = {(x, y, z) | 1 < x² + y2 < 4, ys 0, x < y/3, 3 s z 5 4} E = {(x, y, z) |…

A: given fx,y,z=ex2+y2 and a region of integration E=x,y,z|1≤x2+y2≤4 , y≤0, x≤y3 , 3≤z≤4 claim-…

Q: find the general solution of (y^3 + yz^2 -z)dy + (z^3 + y^2 z - y) dz = 0

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Q: : Discuss the existence and unique solution for the IVP y'= 3y3, y (0)=0

A: This question is related to Differential Equations

Q: Find the general Solution for Ive Coeffcent? using method of undetermined y'0) =4

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

A: We have to solve

Q: Solve the boundary value problem yx) + y(x) = 9, y(0) = 0, y(7) = 9.

A: The objective is to solve the given differential equation

Q: Q Find the solution of x, y, z by using Gramer's Rule. 3x + 2y - z 1 x- y+5z = -2 2x + y = 3

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Q: Let x, y be the unique solution of x' = y y' = 0, y(0) = 1. = -x x (0) Show that x, y verify x2 + y?…

A: Given x' = y                   (1)y' = -x                (2)x(0) = 0                    (3)y(0) = 1…

Q: e) y-2y'+y

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Q: Jim is cooking sopas (chicken noodle soup) for Noche Buena. He finished early in the afternoon and…

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Q: Find the number of equilibrium solutions of the r x' = x(y-2) โม่ = x − y

A: x'=x(y-2)y'=(x-y) Equilibrium solution of a system of differential equation X'=AX are those solution…

Q: 4. Write the solution of i = -y, ý = x, x(0) = 1, y(0) = 0 %3D

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Q: a*y, u (a, х, 2х + 2 Uz + xUy = x²y, 5x

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Q: Q1 : Find the solution of x, y, z by using Gramer's Rule. 3x + 2y – z = 1 x - y + 5z = -2 2x + y = 3

A: As per our guidelines we need to solve only one question. Please repost the remaining questions as…

Q: Observe that for yo = 0, y= 0 is an equilibrium solution. Complete the following two statements…

A: Graph of the given problem

Q: Obtain the particular solution. y' = x exp(y-x²) ; when x = 0 , y = 0.

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Q: what is the general solution of y (1 + 3x ) y - v ? Oy = 4 + 3x + Ce %3D = 4 +3z + Ce" 4 + 3x + Ce…

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Q: Find an actual explicit solution to y'=t/y,y(2)=- O y(t) = -(t^2 - 3)^1/2 O y(t) = -(t^2 - 3) O y(t)…

A: Given query is to find the solution for the differential equation.

Q: it as a Bernoulm cquaion in the uependeht varlavic A. 0. 2x'y = y(y? + 3x). Solve by two methods.…

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Q: Obtain the general solution valid near the origin: 2y'+9ху'-36у 30

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Q: The solution interval of 2y +1≥3 or 3y1 or y< -11 BO

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Q: Exercise 5 Using the method of variation of parameters, the particular solution , for y"+3 + 2y = "…

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Q: If integration using u-substitution technique is used to solve for O u = e4x Ou=1-e¹ O U= u = €²x…

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Q: 8. Using the Runge-Kutta method of the fourth, solve y" = y + xy', y(0) = 1, y'(0) = 0 to find…

A: We take y'=z the Given equation is y''=y+xz,y(0)=1,y'(0)=0,y(0.2)=?…

Q: - Ay A 3 1 -2 221 a-) Find a generol solution of the system ? 6-) Find a porticular solution of the…

A: Consider the given system of equation.

Q: (b) Solve and by applying chain rule if z = In(x² – 2y), and x = : az u + v, y = e".

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Q: Exercise 0.2.12: Is there a solution to y' = y, such that y(0) = y(1)?

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Q: 6- Show that y = xsinx is a solution to y +y 2cosx

A: The given differential equation is: y''+y=2 cos x

Q: Solve the DE using Linear First Oder Method: y +yx = x - 3. if y(0) = 2 %3D

A: Given y'+yx=x-3   if y0=2 To find the general solution

Q: az (b) Solve and ди by applying chain rule if z = In(x² – 2y), and x = u + v, y = e". dv

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Q: Solve the non-homogeneous DE. Hint: Use method of undetermined coefficients. y(4) – y = 5; y(0) =…

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Q: 1) A rectangular steel sheet is bounded by the axis x = 0, y = 0, x = a and y = b. The temperature…

A: We solve this by following method

Q: The solution of the IVP t(t + 4)y + (t + 4) y =t, y(2) = 2 exists in the interv

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Q: Is a solution of the diffrntish epuation 1 yy'= -X+ with y E € ]_9,GE with x € C-G,G] 2. 3)yy:…

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Q: 5. The particular solution of y' + y = y¯² when x = 0,y = 2 is

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Q: 6- Show that y = xsinx is a solution to y= + y = 2cosx

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Q: If z = ln √(u2 + v2 + w2), find ∂z/∂u, ∂z/∂v, and ∂z/∂w. Also, please explain the method used to…

A: Topic = Derivative

Q: Ball is thrown Vertically into the air at 120 m/s ,after 3 secanother ball is thrown.what initial…

A: Height of the first ball   S1t = -4.9t2+120t —1Height of the second ball  S2t = -4.9t-32+vt-3 —2v=…

Q: 1. E(Y,X, X2... X) (Y+Y2 +. + Yn) 2. E(IX,, X2, X) =E Y2+ + Yp) + -B(X, +X +

A: We have to show that β¯ is conditionally distributed.  To show β¯ conditionally distributed we will…

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.