Based on Problem 2, we have the two equations3HK = -p and H3 + K3 = -qSolve for K in 3HK = -p and substitute into H3 + K3 = -q.Then show thatH = C3 -q2+ Bq24+ p3/27

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Q: Solve the following initial value problem: y" – 2y' + 5y = -8e7-, y(7) = 2, y(7) = 12.

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Q: 22:- Solve the following Equations by Gauss - Jordan method 2X+4Y-6Z=-4 X+ 5Y+3Z=10 X+3Y+2Z = 5

A: Here we have to solve the equation by using the Gauss-Jordan method.  2X+4Y-6Z=-4X+5Y+3Z=10X+3Y+2Z=5…

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Q: Solve the Cauchy problem y'

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Q: 6. Solve the general solution using Method of Undetermined Coefficients. y" – 3y' – 4y = 3e2x…

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Q: 3. Prove that the solution to the equation 9yy + 4x = 0 can also be written as: y2 = c: and what is…

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Q: 3 2 y' у. -5 1

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Q: 1 To find the number of toys a company should manufacture per day to optimally use their…

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Q: med using one of the 3 problems to the right, then solve. Problem 2 Sx-3y z 12 Problem 1 Problem 3…

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

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Q: Show steps clearly.

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Q: A particular solution to this equationy" +3y' +y= x-2ex can be obtained: Select one: a. by both, the…

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Q: 20. In question number 19, what is its particular solution? " (D² – D - 2)y = 1– 2a – 9e- Yp = 3e- +…

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Q: Solve the Cauchy euler equation 3x2+ 6x-6y = 3 + Inx d²y + 6x2-6y = 3 + lnx³ dx3

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Q: A) S(x)=- у-аxis 4. 3. X-axis .6 -5 4 3 -2 -1 4. -2 -3 -n of unis O fx)= *-2x-3 x-2 у-аxis 64 х-аxis…

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Q: Sandy's work for the problem V 45x = 5vx- 15 is shown below. D where the mistake in her work is.…

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Q: In Problems 1–24, solve the ineq 1. 3x +4y > 2

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Q: 4. Is (1,5) a solution of 3x-2y S-4

A: Let's find.

Q: 3. Solve the following LP problem using simplex method: 3 min z = --4 + 20x5 1 + 6x7 s.t. 1 X4 8x5 -…

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Q: 2. Solve the following LPP using Simplex method. Max P 12X + 16Y Subject to: 10x + 20y =0 and Y >= 0

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Q: What is the output of this circuit?

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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: 4. Solve S/² x + ²/2 y = − 3 y=x+2 using elimination method

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Q: Solve the following: c) 2/3≤ −4/5(x − 3)<1  (d) 6z−9−z2 <0  e) 3t2 +21t+30≥5t2 −20

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Q: To find the daily optimum production number of Portland cement in a factory, one needs to solve the…

A: Given system of linear equation is 10x1-x2+2x3=6-x1+11x2-x3+3x4=252x1-x2+10x3-x4=-113x2-x3+8x4=15 To…

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Q: The equation X2 - 19Y² = 13 has an integral solution, i.e., there is a pair hat x2 19y2= 13. (proof…

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Q: can you find a particular solution for this   y'' -4y'+ 4y = 2x*e^(4x)

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Q: Find a particular solution for i= -3y - 4 + Se ya- Sya + 6ya - 6e (0) - 19, ya(0) - -23

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Q: b) Find particular solution of х*у 3- (х-1) у. У(1) — 1. У(1) %3D 1.

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Q: 1. Solve by using Gauss-Jordan Elimination. CALCULATOR IS NOT ALLOWED. (2x +y+2z = 10 x + 2y + z = 8…

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Q: For a second example, consider fk = 3k3 + k – 1. We have Afk = 9k² + 9k + 4, A² fk = 18k + 18, A³ fk…

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Q: 8) Use Gaussian Elimination to solve: x +3y-z = 13 - 5z = 23 (4x-y-2z = 14 Consier 2x

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Q: 3. Two brothers decide to invest in a vacant lot which cost $51 000. The first brother contributes…

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

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Q: Solve the variational problem 8] +2y (x +y)] de = 0, given y (1) éy (2) 0. %3D

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Q: 2.10. Solve the following equations: (a) Yk+1 = (k² + 1)yk, (b) Yk+1 = (k – k² – k³)yk, (c) = . - -…

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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.