Which of the following is the general solution to the equation (2x+9)y" +(2x+7)y-2Y3D0? O a. y=c_1 e^(-x)+c_2 (2x+7) O b. y=c_1 e^(x)+c_2 e^(-x) O NS. y=c_1 e^(x)+c_2 (2x+9) O D. y=c_1 e^(x)+c_2 (2x+7) O to. y=c_1 e^(-x)+c_2 (2x+9)

Q: 2x^2y"+6xy'+2y=4x^2

A:

Q: Solve for the general solution: (D² + 2D - 8)y = C O y = cle^(4x) + c2e^(-2x) O y = cle^(-4x) +…

A:

Q: How would I go about sketching z = 4 - 4x^2 - y^2 and z = 2(x^2 - y^2)^(1/2)?

A: Given equation of the curve  z=4-4x2-y2 and z=2x2-y2

Q: Find a real general solution 5x^2 y"+23xy′+16.2y=0

A: Consider y=xm and solve using this substitution to obtain the required general solution.

Q: How to solve this equation y'''-8y"+4y' + 48y= 4x^2+1 using Variation of Parameters

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Q: D3-7D² + 16D-12)y=e^7x + Cos5x + Sin5x

A: Given:

Q: Solve for the general solution: (D² - 5D + 6)y = 0. Oy=c1 e^(2x) + c2 e^(3x) Oy=c1 e^(-2x) + c2…

A:

Q: Wie the ouatratic formula to sol -2y=3y^(2)-1

A: Given, Quadratic equation is  -2y = 3y2 - 1

Q: Why is x+9y^2 =1 not a linear equation?

A: The given equation x+9y2=1

Q: y=c_1e^x+c_2x^3

A: Elemination of arbitrary constants

Q: (D^3-2D^2-5D+6)y=e^(3x)

A:

Q: At the beginning, how does x^2+y^2+z^2=64 become z^2+y^2+z^2=64

A: Solution:- Given question is x2+y2+z2=64If we put x=z then above equation becomes as- z2+y2+z2=…

Q: 2x^3y"-x(2-5x)y'+y=0 Find the general solution using a point at infinity

A: Given- 2x3y''-x2-5xy'+y=0 To find- The general solution.

Q: Simplify the expression using the prope 8y^(7)z^(5)y^(6)z^(3) Show your work there

A: We know,        x^(a).x^(b) = x^(a+b) We use this formula to evaluate the given expression.

Q: (2x^(-2)y^(8))/(50x^(n)y^(7)) simplifies to (y)/(25x^(5)) what must be the value of n

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Q: x' fx -5-0

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Q: Find an equation in the form ax^2 + bx + c = 0 with roots 4 and -7/6

A: The equation is : 6x² - 17x - 28 = 0   The detailed explanation is as follows below:

Q: Solve xy^1=1, x=1, y=4 Select the correct response: O y=Inx+4 O y=Inx-4 O NONE O y=Inx+3

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Q: ((3x^-1 -3y^-1)/(y^-2 -x^-2))

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Q: y^ (4) + y”” + y” = 0

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Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

Q: find the general solution (D^2+9)y=5e^x-162x^2

A:

Q: Solve the equation x^2+y^2=4z+3 for x, y, z EZ

A: Given:   x2+y2=4z+3    x , y , z ∈ Z

Q: Solve for the particular solution of the given IVP: Q y^(-3) = 9/5x^(-1) - (49/5)x^(-6) Oy^(-3) =…

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Q: 3. Solve -4 -2 X' = 3 X+ -Se -11 -2

A:

Q: Please answer this question asap I will rate you for sure. Which equation is the general form of…

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Q: simply the expression (4r^18s^−1/2)^1/2(32s^−5/4)^−1/5

A:

Q: x + 5X" + 4X - 3 dx (x² + 3x + 5) (x²+7X+12)

A: The given integral is ∫x6+5x4+4x-3x2+3x+5x2+7x+12dx.

Q: 5(3х-1) dx sec ( 3x²-2x)

A: On doing integration we will get

Q: 1 (6x–15x +9x) = x'e D² -D+3 true Error

A:

Q: Show that the third difference of a cubic equation f(x) = ax^3+bx^2+cx+d is constant.

A: Consider the provided cubic equation, We have to show that third difference of given cubic equation…

Q: Solve the DE problem: (D^4 + 4D^3 + 6D^2 + 4D + 1)y = 0

A: Topic = Differential equation

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.