1. A department store has found that its value of sales (2) depends on the mumber of advertisements in circulars (x) and in newspapers (y), given by z = 420x – 2x2 – 3xy-5y2 + 640y + 1725. If the price per advertisement is RM1 in circulars and RM4 in newspapers, and the advertising budget is RM180,

Q: Use the method of reduction of order to find another solution of y"−4y'+4y=0 if y₁=e²x is a solution…

A: The given equation is;  y''-4y'+4y=0 and y1=e2x

Q: . Find out optimum solution of the following LPP. Max Z= 2X + 5Y Subject to: 6X + 5Y

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Q: Use the method of variation of parameters to find a particular solution of y" – 5y' + 4y = e*. %3!

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Q: Solve the following system of equetions using Geuss Jorden Eliminetion method. x- 4y - 2z - v - 2w +…

A: Given that x-4y-2z-v-2w+2u-5k+5t =10x-3y+2z-v+4w                          =33x+5y      -v…

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Q: Find a particular solution to y" + 4y' + 3y = -16te²".

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Q: This is the solution of the Cauchy - Euler equation x²y" + 17xy' + 60y = 0 O y = C1x 5 + C2x 8 O y =…

A: Using method of Cauchy's Euler Equation

Q: 9. Determine y = Yc+yp using Non-homogenous equations: Method of Undetermined Coefficients Given: y"…

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Q: 1. Find the general solution of (2x + 3)y' = y + (2x + 3)ž a. y = v2x + 3[C + In(2x + 3)] b.y = (2x…

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Q: (2x - 5y = 35) Q (4x – 10y = 20} (5x-4y = 33) R 3x-3y 24 (7x +4y = -5 (2x-5y = -26) (2х бу 6) 3x - y…

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Q: Solve by Graphical Method Max z=2x+4y Subjected to 3x+4y0

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Q: 1. Solve ,analytically. the Following differencetegs y(k)+ y(k=)-니3 Ck-2)-4y(e-3).=u(k).…

A: (a) Take the Z-transform on both sides of equation.

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

A: Given : 0.33330.16670.66670.16670.66670.33331.05-10x1x2x3=75612600

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

A:

Q: the general solution for x²y"+xy'+ 4x². – y=0, is 2 .a y (x) =c_J, (2x) +c,J, (2 x) 4 4 .b y (8) =…

A: Thanks for the question :)And your upvote will be really appreciable ;) Option (d) is correct

Q: 1. Eliminate the arbitrary constants on the given equation: y = C1 + C2e¯ -2x 2 Eliminato

A: Given

Q: Find the general solution of 6y"'+y"-15y'=0 3x 5x A y=c,+c,e 2 +Cze -C, 3x 5x B) 2 y=c,e 2 +c,e 3x…

A: Roots are real and distinct.

Q: Your major online bookstore is in direct competition with Amazon.com, BN.com, and BooksAMillion.com.…

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Q: At the end of a certain year, the four companies with the largest number of home Internet users in…

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Q: 2- a sva²-z² sa²-y"-" zdxdydz a>0 zdxdydz a > 0 0,

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Q: If the cost, C(x), for manufacturing “x” units of a certain product is given by C(x)=x 2 -15x+50,…

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Q: Find the general solution to(D5 - 2D³ – 2D2 – 3D - 2)y=0 O y= e-X(C1 + C2x)+ C3e2× + C4cosx+ C5sinx…

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Q: 4 - Find the general solution of y + 3y'+ 2y -e a) y(x) = Cie b) y(x) = Cie 2 + c2e -e c) y(x)= c1e…

A:

Q: Suppose that the manufacturing cost of a personal digital assistant​ (PDA) is approximated by…

A: Take partial derivatives of the function M(x,y) and substitute the given points for x and y.

Q: Find the optimal solution. MAX Z=6X+7Y st 4X+5Y≤20 10X+7Y≤35 3X+4Y≥6 X ≥0 , Y ≥0 and an…

A:

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

A: Explanation of the answer is as follows

Q: Max z = 5xı + 7x2 s.t. X1 6 < 19 < 8 X1, X2 20 2x1 + 3x2 X1 + X2

A: Given LPP is  Max z=5x1+7x2Subject to,x1≤62x1+3x2≤19x1+x2≤8x1,x2≥0

Q: 3. Find the general solution of y" – 3y' + 2y = e" using the method of variation of parameters.

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Q: Obtain the particular solution of x²y" + xy' = 1; y = 0 and y' = 1/2, when x = 1

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Q: Solve for x,y,z:  3x +2y − z = − 1  − 2x − 2y +3z = 5 5x +2y − z = 3

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Q: firm produces two kinds of golf balls, one that sells for $3 and one priced at $2. The total…

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Q: 20. What is the solution of (2x - y)dx + (4x + y – 6) dy = 0? a. (x+y- 3)° = c(2x + y – 4)² b.…

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Q: The general solution of xy' = -x3³y-csc (xy) is A B C D 2x²cos (xy)+1=cx² -2xcos (xy)² + 1 = cx²…

A: Please see the below picture for detailed solution.

Q: Suppose in one year, total revenues from digital sales of pop/rock, tropical…

A: Let us assume that: Revenue from pop/rock music= $x Revenue from tropical…

Q: XY = 11d, YZ = 9d - 2, XZ = 5d + 28 XY = 4n + 3, YZ = 2n - 7, XZ = 20 XY = 3a - 4, YZ = 6a + 2, XZ…

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Q: problem. Maxriniee and mínimize マ= 2x + 3y (1) Subject to スx + y20 X + Zy Z 8 X,Y

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Q: Between 1950 and 1960, the population of Singapore increased by 3.5 million. If the amount of…

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Q: Find general solution of the DE 4y′′′ + 4y′′ + y′ = 0

A: The given equation is 4y'''+4y''+y'=0. The characteristic equation of the given differential…

Q: Find the general solution of y" + 9y = 5e^x -162x^2. Use yp = Ae^x + Bx^2 + Cx + D

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Q: Find the general solution of (x³ + 2y4)y' = 3yx² in implicit form f(x, y) = c. When y(0) = 1, what…

A: We have to solve the differential equation

Q: 17. The general solution of the equation (x³ + 3xy²)dx + (3x²y+y³)dy = 0 is A. (x4 + 6x²y² + y4) = C…

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Q: Find the general solution of y" + 4y' = 0 O a. y= Ce*+ C2cos(2x)+ C3sin(2x) O b. y= C, + C2e-2x +…

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Q: Consider the following system of equations in R²→R? y + 2xỉ + x3 - yıY2 = 15 2y + xỉ + x + YıY2 = 38…

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Q: X-3y+z--1 3x-y+2z-2 2x + 3y -z= 1 Eat Ax B A-B 3.

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Q: The solution of yy′+36x=0yy′+36x=0 is Select one:

A: The question is taken from the calculus in which we have to find the solution of the given…

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

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Q: Find out the optimum solution of the following LPP Max Z= 2X + 5Y

A: Given LPP is Max. Z= 2X + 5Y                                                         subject to…

Q: and the general solution of the following equations: f y'+(4/x)y=x* ---by linear method

A: Given: y'+4xy=x4. To be find: general solution of the given differential equation. Concept: for…