2.N.CN.7 Which of the following equations does not have any real solutions? * x² – 4x + 2 = 0 x2 - 4x +3 = 0 || B. OA. x2 - 4x + 4 = 0 x2 - 4x +5 = 0

Q: Solve the following LP problem: max Z 5x, + x, +4x, s/t -, - 5x, + 2x, + 5x, sS 3xL 2. x, + 2x, with…

A: Since the left hand side of the third constraint is not clear, taking it as 1 and solving the LP…

Q: Consider the following IVP: 1. y"+a2y = 0; y(0) = 1, y'(0) = 0

A:

Q: Consider the following IVP: y'' -10y' +9y = 5t, y(0) = -1, y'(0) = 2

A:

Q: Find the general solution of the following DE. xy(y')² + (x² + y²)y' + xy = 0

A: Here given the differential equation as xyy'2+x2+y2y'+xy=0 Replace y' by p, then xyp2+x2+y2p+xy=0…

Q: 4. Which is an equivalent form of the following equation? 2x-3y 3 Oy= -x- 1 Oy =x- 1 Oy =x-1 Oy =3x…

A: Given 2x-3y = 3 Solution :  2x = 3 + 3y 2x-3 = 3y

Q: 3. For what values of to and ro does the IVP: x' = 2/r, x(t.) = xo, have a unique solution?

A: Given: The initial value problem x'=2x, xt0=x0

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: Q.4 Solve Cauchy Euler DE x³y" + 4x²y" – 5xy' – 15y = x*

A:

Q: Find the general solution of the following DE in explicit form. y'=2+2y-2x +8

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

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: Which of the following is a solution of the following equation valid near the origin for x>0? x²y' +…

A: heresolution y=9c'-6c'x+2c'x2+c"e-3xx2when x>0 but near to 0then e-3x→1theny=9c'-6c'x+2c'x2+c"x2

Q: d the general solution of the following first order x = 5x1 – 6x2 + 3e2t x2 = 3x1 – 4x2+e²

A: Rewrite given equation as (D-5)x1+6x2 =3e2t              ...(1) 3x1+ (D+4)x2 =et…

Q: Verify that x and x* are solutions to x²y" – 6xy' + 12y on (0, 0), and give the general solution to…

A:

Q: What is the solution of D.E y"- 3y' = -2cos(2x) when solved using the method of undetermined…

A:

Q: Which of the following is a general solution to the following: x²y" + xy' + (36x² − 1) y = 0 A. y =…

A: Solution:

Q: Find the particular solution determined by the given condition. 3) y' = 7 ; y = 20 when x = 1 A) y =…

A:

Q: Find a particular solution of (20) y′′−3y′−4y=2e−t.

A:

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: 4- Find the particular solution for: 3x²y' = 5x – 6xy, x = 2 when y = 1 %3D

A:

Q: Solve for for the equation y = aln(x + )+ 4tan(;)– 2x O a. T O b. In(4 + x) O c. none of these O d.…

A:

Q: 8. Solve the following LP algebraically. a. Max Z= 150X+ 160Y subject to: X+Y 20 Y>15 X, Y>0

A:

Q: Prove that the following equation has no natural solutions x? + x +1 = y².

A: we have to prove that given equation has no natural solution

Q: 6. Find the smallest constantr so that o(x) == x" is a solution to 3z'y" +11lry -3y= 0, for z >0 -3…

A: 6.ϕr=xr is a solution to 3x2y''+11xy'-3y=0, for x>0

Q: y' + 2y = x³e-2x

A:

Q: For #1-10. Solve for the particular solution of the following non-homogeneous DE. 1. y" + 4y' + 3y =…

A:

Q: Now 25 -> 25 X9 >9 (n- 6X+) +25 (y=4y+1) = 225 -> 9n2-54X+ 81+ =>9n+25y54x-1004+181-225= 25y? 100y+…

A:

Q: Which of the following is a general solution to the following 4x3y"+4xy'+ (4x²– 25) y=0 O…

A:

Q: 24. Find the first approximate solutions for -2x? + 4x + 2 = 0. 1 - and x = 3- 3 3 x = and x = 3- 3…

A: -2x2+4x +2 = 0Dividing Both the Sides by -2x2-2x-1 = 0Since the coefficient of x2 is 1Move the…

Q: Which of the following is the general solution to the equation (2x+9)y" +(2x+7)y-2Y3D0? O a. y=c_1…

A:

Q: Show that the equation 2³ + 3y3 = 923 has no solution in integers, other than x = y = z = 0.

A: Suppose that, x3+3y3=9z2 has a non-trivial solution, that is other than (0,0,0), and minimal.

Q: Find the general solution of the following DE. y' = 3 (y + 1) O y = 3ce³x - 1 Oy = ce³x - 1 Oy =…

A: y' = 3(y+1) dy/dx = 3(y+1) dy/3(y+1) = dx dy/(y+1) = 3dx now apply both side integration

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

A:

Q: -) Solve the following Cauchy problem: -00 0, u(x, 0) = 1, u4(x,0) = 2 – e¯*, -0 <x< oo. 4 uzz;

A:

Q: 1. Show that y = c,x1 + c,x³ is a family of solutions of x?y" - xy' - 3y = 0.

A:

Q: Find the general solution of the given DE 2xy^2 + 4 = 2(3-x^2y)y'

A:

Q: Consider the following IVP: y'' -3y' -10y = 1, y(0) = -1, y'(0) = 2

A:

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)

A:

Q: 3. Find the general solution of the following DE. y' = 3 (y + 1) O y = ce³x - 1 3y = ce³x - 1 Oy =…

A: Use variable separable to Solve this problem.

Q: S'z xdx (1+x)*

A:

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

A:

Q: Solve the following DEs: 1. 4y" + 16y' + 17y = 0, when y = 1, x = 0; y = 0, x = n

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: The solution of e = -has the form x + i (y + 2nn) where n is an integer. What is the value of x?…

A:

Q: Which of the following is the general solution to the following exact DE. (2yx + 1) + (x² + 3y²) y =…

A: ANSWER :

Q: 1.Find a general solution of each O.D.Es. A) y" 19y = coqx +os 3 - šin 2 (3) y" + 4y/ + 6.25у —…

A: First we determine the general solution of the related homogeneous equation.  auxiliary…

Q: Find the general solution of the following equation valid near the origin: (1+4x2)y"-8y=0 00…

A:

Q: = 3e2x and y,, = x² + 3x are respectively solutions of у" - бу' + 5у -9е2х y" – 6y' + 5y = 5x² + 3x…

A: General solution y(g)= y(h)+y(p)

Q: Which of the following is a solution of the following equation valid near the origin for x>0? 2x2(1-…

A: There are two solutions , from the given options we choose one of the solutions.

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.