Find the general solution of the equation ¤(x – 1)y" – (2x – 1)y' + 2y = 0 by the reducing the order. O A. y = c1(1+ 2z) + cz¤ O B. y = c1(1 – 2æ) + czx² O C.y = c1(1+2a²)+ c2x² O D. y = c1(1 - 2æ) + c2¤

Q: x +y = - 12 2x - 3y = 6

A: Solved below

Q: Add. (7y +y- 5) + (5y² - y -6) (7y? + y- 5) + (5y² - y-6) =D (Simplify your answer.)

A:

Q: Find [4x³ (In x)² dx. O A. 1.4 X x In²x + In x + O B. x² ln² x - ln x + O C. x ln x O D. x ln x X 2…

A: Note : according to our gauideline, i can solve oy first so please reroute the remaining question.…

Q: A. y = -2(x – 4)² + 1 B. y = 2(x – 4)² + 1 C. y = 2(x + 4)² – 1 D. y = -2(x + 4)² – 1 7.

A: 7. A parabola can have equation of the form x=a(y-k)2+h. This parabola will have vertex at (h,k) and…

Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: (9y² + y - 7) + (7y² -y-4) = ]

A: We have to add 9y2+y-7+7y2-y-4

Q: 7. Find the values of x and y. (3x +9) (4y+8)" (3y-14)"

A: Step I                                        mL1=mL3 Vertically, opposite anglesmL3+mL8=180°  Sum…

Q: 2x+2 y = 5

A: Given : 2x+2y = 5x+y = 3

Q: 3. Simplify (x+ 2)(x2+3x- 4).

A: (x+2)(x2+3x-4) = x(x2 + 3x - 4) + 2(x2 + 3x - 4) = x3 + 3x2 - 4x + 2x2 + 6x - 8 = x3 + 5x2  + 2x…

Q: b. Express each equationin standard form 1. 12y2 – 4x2 – 16x + 72y + 44 = 0 2. x2 – 2y2 + 6x + 4y +…

A:

Q: Add. (6y? + y - 6) + (9y² - y- 5) (6y² + y - 6) + (9y² - y -5) =D (Simplify your answer.)

A: The given equation is: 6y2+y-6+9y2-y-5

Q: T. If TM 3y and TX 2y + 24, then Y

A: Given,  TM = 3y TX = 2y + 24

Q: 20. H (3x - 5)º 27yº VEZ (6y + 8) (2x + 10)°

A:

Q: 6. Determine the domain of the following: a. y = -3/14 + 3x b. y = V4 + 3x –- x² x+1 С. у %3 х(х-2)…

A: Domain of given function at which y(x) is defined.

Q: Simplify (ex)5 . e(7x + 6) to the form eA x + B) = eC. eDX where %3D A = B = C = D =

A:

Q: If x ∗ y = 2x – 3y + 4xy, find the values of 5 ∗ 2 and 3 * 2/5.

A: The solution is as

Q: (4x-1) 5 =3 then x= 1. A. 2 О А о B О с O D В. 4 С. 1 D. -2

A: The given problem is to evaluate the given equation and find the value for x. Given equation…

Q: Which system of inequalities best describes the given graph below?

A:

Q: .2 y = 4 - x² and x +y = 2.

A:

Q: = (2xy + z² )i + (x² +z)j + (y + 2xz)k, determine a possible value for .

A:

Q: 6 8. 6x - 3y = 15 4x – 3y =-5

A:

Q: (5x+4) O 19. Find MP M 20. Find PJ. 3x + 14 09x-34 K

A: Answer no 19

Q: 1. Differentiate: y = 3(²-1) A. (In 3) 3(x²-1) C. 2x (In 3) (3x²-1) B. (2x) 3(x²-1) D. x²(In…

A:

Q: If 3y/7 + 2/3 = 2, then y=?

A:

Q: 1/3y+1=1/2y-3

A: We have to find value of y for 1/3y+1=1/2y-3

Q: 2. obtain the general solution. a.(D - 3D + 2)y = 2x – 9x2 + 6x. b.(D2 + 4)y = 5e - 4x. c. (D² + 4)y…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Reduce the equation 3x? + 3y – 2x + 4y – 7 = 0 to standard form. D. (x- + (v +3² = 26/3 A. (x – 5² +…

A:

Q: b. 3+V5-x 3I

A:

Q: 12. (2x- 5)(5x? + 4x +7)

A:

Q: 1 4x +3 dr

A:

Q: 2a - 5y dA, R =(-5,4] x [0, 3] R.

A:

Q: Find the center and radius of each circle.

A: Center is (-1,-6) with radius 4

Q: Multiply (y- 7) and (5y² – 3z + 6).

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.