If x(z) = 2z + 5z¬1+ 6z¬3 – z4 find x(n).

Q: 11. Find the particular solution of 2ydx = 3xdy, when x -2, y = 1

A: Given : Differential equation :  2ydx = 3xdy And x = -2, y = 1   To find : Particular solution of…

Q: Solve the linear system

A: 2x+3y=4x+2y=3over Z7

Q: ₁:w+x+y+z=0 ₂:-w+2y=z=14 13:3x-y-2z=4 T₁:7w-x-y+3z=-8

A: to solve the this we use the gauss elimination process to find the solution of the system of…

Q: Find y' by implicit dif ferentiation for 2y³+4x² –y = x6 . 6x5- 8x y '=- 6y2 – 1 A 6r5 + 8x B 6y2– 1…

A: Given, 2y3+4x2-y =x6 We have to find y' by using the implicit differentiation.

Q: Consider (D3 + 3D² + 2D)y = 3x2 + 5x + 9. Using method of coefficients, what is y A y = 6x – x2 + 2…

A:

Q: - 5x + 4y – 3z = - 1 - 10x – 4y – 4z = 46 20x – 4y – z = - 44 (x, y, z) =

A:

Q: w + x + y + z = 13 2w + 3x - z =- 1 3w + 4x + y + 2z = 10 w + 2x - y + z = 1

A:

Q: X1, X2 2 0 12. Minimise Z = 60x1 + 80x2 bo Subject to 20x +30x2 2 900 40x1 +30x2 2 1,200 X1, X220 LO…

A:

Q: Give a particular solution for y" – 2y' + y = 3e*.

A:

Q: Suppose that Yı x5 is a solution to x²y" – 10xy' + 30y 0. Use reduction of order to find another…

A:

Q: (1+ 2.x² þ" – 4.xy' + 4y=0 yı(x) = x

A:

Q: 2y dr - (x- y) dy = 0, when x= 4, y = 4. O x-y= x O x+y = 4y Ox+4y = x D x- y = 4

A: We will solve it by converting into linear differential equation

Q: . Show that y x2 2 (xyz)(x – y)(y – z)(z - x) N N

A:

Q: Find Maximam for Z= 2X+ X スx+ x 2 Subjects x+x 3) xi +4 Xq $ 24 - use Simplex Method ?

A: Linear equations are the equations with degree equal to 1. The linear system will have finite…

Q: y + z = 6, x + 2y +3 nsistent, if λ is

A:

Q: If x, y belongs to Z prove that the equation x^2+4x-8y=11 has no solution

A: The given equation is, -----(1)

Q: A) (:: :) Verify that y = c₁cos(3x) + c₂sin(3x) is a solution of y' +9y = 0

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: If xy2 3x2y + C, then what is the value of C at (2,2)?

A:

Q: If y+3y = 8 then g- solution is %3D a- y + 6 = 1 b- In (8 -3y ) = x + c %3D

A:

Q: Give a particular solution for y" – 2y' + y = 1+x2

A: Given that a differential equations - y" -2y' +y = ex/1+x2.   We know that integration of 1/(a2 +x2)…

Q: 3 x = y + z- w = 2 -x + 2y - z - w = -1 2x - y - z+ w = 4 x + 3y - 2z - 3w = 6

A: 3

Q: Suppose that W (y1, Y2) (t) = 4, and y3 Yı – 3y2. What is W (y1, Y3) (t)?

A: Correct option -12 We have to find out the value for Wy1,y3t.

Q: Q1: Find the general solution of the y - 4y - 5y = 2sin2 x

A: Given differential equation is y''−4y'−5y=2sin2x. We have to find the general solution of the given…

Q: 3. Verify that 3e-2x +4e* is a solution of y"- 3y' + 2y = 0.

A: We have to verify that 3e-2x+4ex is a solution of y'''-3y'+2y=0

Q: Give a particular solution for y" - 2y' + y = 3e".

A: Explanation of the answer is as follows

Q: Мaximize 2 3 4х + 4y || 3x + 7y < 63 6x + 2y < 54 Subject to Маximum is at y = VI ALAL II

A:

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: What is the general solution of xy^2dx+x^2ydy=0

A:

Q: 7. Given: x + 3y – 2z = 4; 2x + z=-3; and 2y + 3z = -1 What is the value of x + y + z?

A:

Q: 3. Verify that 3e 2x + 4e* is a solution of the y"-3y'+2y=0.

A: We have to verify if the given is a solution to given differential equation or not.

Q: 7. Given: x + 3y – 2z = 4; 2x + z=-3; and 2y + 3z =-1 What is the value of x + y + z?

A:

Q: Solve the system of equations.

A: we have to solve the given system of equation

Q: Maximize q(x) = 2x² + 72xy + 23y² , where x = subject to the condition ||x|| = 3. %3D Select one:

A: This is a problem of optimization.

Q: Using the principles 2y. -3y + y = 5-3" Vn20 where y=1 and y₁=1

A:

Q: px + qy=z-a √x² + y² + z²

A:

Q: b) Give a particular solution for y" – 2y' + y = et - 1+x2

A:

Q: Q4 If z = x In(xy) a3 z a4z Find and əy²əx əx²əy²

A:

Q: = (y² – z² +3yz – 2x of the following is/a

A:

Q: x+3y = 2 %3D 21. 2x + 7y = 4 x+5y+z = 5

A:

Q: 5y – 15 What are all the restrictions for v²- 6v +9 y2+ v – 12 ? A x* - 4, x # 5, x*3 B x#3 x* -4 x*…

A: What are the restrictions for 5v-15v2-6v+9÷5v2+v-12

Q: 2. Is y(x) = 2sin3x + 4cos3x a solution of y" +9y = 0? %3D

A:

Q: Find the particular solution of: y' – 4y = x²e* that satisfies y(0) = 2.

A:

Q: 2x³y' = y(y² + 3x²) using Bernoulli.

A:

Q: max x+ y2 + z² subject to x2 + y² + 4z² == 1 and x+3y + 2z = 0

A:

Q: -x + 2y - z = 0 —х — у+ 2z%3D 0 - X 2z = 0 2x Z = 4

A:

Q: Find the general solution. 6y(4) + 7y" – 12y" – 3y' + 2y = 0 SHOW WORK.

A:

Q: Give a particular solution for y" – 2y' + y = 3e*

A:

Q: 3 18. z= 19. y= Vx(x-1) 3x-1 20. y= 2x+1

A:

Q: 2. 2r +z +w 5 y -w = -1 3x -z - w = 0 4r +y + 2z +w = 9

A:

Q: 4 Q1: If y = (x4-3x2) x5-3Vx3+Vx find y' 리x2-2

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.