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: 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: 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: x' fx -5-0

A:

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

A:

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

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…

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.