Your major online bookstore is in direct competition with Amazon.com, BN.com, and BooksAMillion.com. Your company's daily revenue in dollars is given by R(x, y, z) = 10,000 − 0.01x − 0.02y − 0.01z + 0.00001yz, where x, y, and z are the online daily revenues of Amazon.com, BN.com, and BooksAMillion.com respectively. (a) If, on a certain day, Amazon.com shows revenue of $10,000, while BN.com and BooksAMillion.com each show $5,000, what does the model predict for your company's revenue that day?$ ________(b) If Amazon.com and BN.com each show daily revenue of $5,000, give an equation showing how your daily revenue depends on that of BooksAMillion.com. R(z)________

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 the particular solution for y' = x3 – 2xy when x = 0, y = 1

A: We are given a differential equation: dydx=x3-2xywith the initial cobdition x=0, y=1 We can solve…

Q: For y=5x^−2+8x^−3−7x−4, find dydx.

A:

Q: Use separation of variables to find an explicit solution. xyy' = 2xy + y?

A: Idea: after separating x,dx and y, dy terms together. we take integration on both sides . after…

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A:

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

A:

Q: 3. Jx2 + y² = 2xy %3D

A:

Q: Non Homogeneous: (D2 − 7D + 6)y = 3x2 − 2x + 5

A: Here we have to solve the non-homogeneous differential equations     (D2-7D+6)y = 3x2 - 2x +5 .

Q: Find a particular solution to y" + 4y + 3y = -8te". %3D Yp

A: Given differential equation is  y"+4y'+3y=-8te2t

Q: Find the general solution of (D3 – 2D2 + D)y = x

A: (D3-2D2+D)y=xlet D3-2D2+D =0D(D2-2D+1)=0D(D-1)2=0 D=0 or D=1,1Therefore C.F.=C1+C2ex+xC3exnow we…

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A: To show: y=5 x2+2 is a solution of differential equation xy'+25y''=2y

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

A:

Q: f(x,y) = 40x+ + 72x³y+ 85XU fur eblidl w jall dissui %3D -226x2 A O -226 BO 216x2 CO

A: To find fyx = ?   Given : f(x,y) = 40x4 + 72x3y + 85x

Q: Find the solution of 4x²y" – 6x²y' + y = 0, x > 0 %3D of the form Y1 = r"(1+ c,x + czx² + czx³ + • ·…

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Q: Find the general antiderivative of f(x) = 15x-3/5 and check the answer by differentiating. %3D

A: We have to integrate the function

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Q: Find the homogenous, particular and the general solution of y" + 4y' + 3y = 20e-3t

A:

Q: Find the general solution of tx -3x = t³+2t for t> 0.

A: Given DE is  tx'-3x=t3+2t .......(1) We find the general solution of (1).

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A: Using solution of Linear Differential Equations with constant coefficients.

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A:

Q: Show that y %3D Cіx-1 + С2х + Cзlnx + 4x2 is a solution to x3y" + 2х?у" — ху' + у %3D 12х?.

A:

Q: Solve for A y and dy if y = f (x) = -3x + 2x2 – 3x +5 %3D and

A: Given that: y=f(x)  =-3x3+2x2-3x+5

Q: Find the general solution using variation of parameters. - 4y + 4y = (x + 1)e²-

A: To solve the following problem

Q: Find the general solution of æ²p+ y²q = (x + y)z.

A:

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

A:

Q: y' = - 2xy

A: The given differential equation is y'=-2xy⇒dydx=-2xy The given differential equation can be solved…

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A:

Q: The general solution of 4y"+4y' +y = 0 is ()%3D

A:

Q: 1l y" + 4y' + 4y = e-2x %3D x2

A:

Q: Find general solution y = Yc + Yp of y(3) + y" 3e" + 4x2

A:

Q: y"" - 4y" + 3y = 0

A: The given differential equation is y'''-4y''+3y=0. Find the general solution of the given…

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A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: y= x^4-3x^2+4x-3 find derivativr

A:

Q: Use the SUBSTITUTION METHOD to solve for y: x + 2y = 3 %3D X = 4y

A:

Q: Use separation of variables to find an explicit solution. xyy' = 2xy 2 2 + y?

A: using seperation of variables  and then integrate....

Q: 9. (D2 - 2D +5)²y = 0 %3D

A:

Q: Find a particular solution for: y" + 4y = 4cos(2t)

A: We need to find the particular solution of the given differential equation which is y'' + 4y = 4…

Q: Find a particular solution to y" + 4y + 3y = 3te". %3D

A:

Q: note that X - y +z = e2 and 4x – 3y + 2z = e2

A:

Q: Is y = 1/(x + C) a solution to y' = -y^2?

A: To solve the following differential equation.

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A:

Q: Find the general solution of: x² = y² QY_ dr

A: We have to find general solution of given differential equation.

Q: Find the general solution for y' = y – xy³e-2x

A:

Q: Find the general solution for b. у" — 2y" + 4y' — 8у %3D 0

A:

Q: Find the general solution of y" - 4y/ + 4y = .

A: